• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Studies of Knot Theory

Research Project

Project/Area Number 21244005
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionOsaka City University

Principal Investigator

KAWAUCHI Akio  大阪市立大学, 大学院・理学研究科, 教授 (00112524)

Co-Investigator(Kenkyū-buntansha) KANENOBU Taizo  大阪市立大学, 大学院・理学研究科, 教授 (00152819)
TANAKA Tanaka  岐阜大学, 教育学部, 准教授 (60396851)
IWAKIRI Masahide  佐賀大学, 大学院・工学系研究科, 講師 (10453127)
MORIUCHI Hiromasa  大阪市立大学, 大学院・理学研究科, 特任助教 (20453128)
YAMAMOTO Ryousuke  群馬大学, 教育学部, 准教授 (80445006)
TAYAMA Ikuo  大阪市立大学, 大学院・理学研究科, 研究所員 (00382036)
Co-Investigator(Renkei-kenkyūsha) SAKUMA Makoto  広島大学, 大学院・理学研究科, 教授 (30178602)
NAKANISHI Yasutaka  神戸大学, 大学院・理学研究科, 教授 (70183514)
KAMADA Seiichi  広島大学, 大学院・理学研究科, 教授 (60254380)
TERAGAITO Masakazu  広島大学, 大学院・教育学研究科, 教授 (80236984)
TANIYAMA Kouki  教育・総合科学学術院, 教授 (10247207)
MOTEGI Kimihiko  日本大学, 文理学部, 教授 (40219978)
OOYAMA Toshiyuki  東京女子大学, 文理学部, 教授 (80223981)
GOUDA Hiroshi  東京農工大学, 共生科学技術研究院, 教授 (60266913)
HASHIMOTO Yoshitake  東京都市大学, 知識工学部, 教授 (20271182)
MASUDA Mikiya  大阪市立大学, 大学院・理学研究科, 教授 (00143371)
SHIMOKAWA Koya  埼玉大学, 理工学研究科, 准教授 (60312633)
SATOU Shin  神戸大学, 大学院・理学研究科, 准教授 (90345009)
Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥26,650,000 (Direct Cost: ¥20,500,000、Indirect Cost: ¥6,150,000)
Fiscal Year 2011: ¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
Fiscal Year 2010: ¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
Fiscal Year 2009: ¥9,490,000 (Direct Cost: ¥7,300,000、Indirect Cost: ¥2,190,000)
Keywords結び目理論 / 3次元多様体 / トポロジー / 空間グラフ / 数理モデル / 双曲幾何 / 可積分系 / 領域選択ゲーム / 位相幾何
Research Abstract

Knot theory is related to most advanced modern mathematics and also to many research fields in science. The purpose of this program was to develop、in a national scale、both education and study of an extensive knot theory on the basis of the accomplishments of the 21 COE program of Osaka City Advanced Mathematical institute. The support project of international and domestic meetings was carried out steadily、and many new findings on knot theory could be obtained. Among such research activities、unique studies of knot theory such as the publication of an English book of teaching and learning methods of knot theory in school mathematics and three patent applications of knot theory were born.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (152 results)

All 2012 2011 2010 2009 Other

All Journal Article (48 results) (of which Peer Reviewed: 41 results) Presentation (89 results) Book (5 results) Remarks (5 results) Patent(Industrial Property Rights) (5 results)

  • [Journal Article] A Table of Genus Two Handlebody-Knots Up to Six Crossings2012

    • Author(s)
      A. Ishii, K. Kishimoto, H. Moriuchi and M. Suzuki
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: Vol.21, No.4(掲載確定)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Alexander polynomials of knots with Gordian distanceone2012

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Topology and its Applications

      Volume: 159 Issue: 4 Pages: 948-958

    • DOI

      10.1016/j.topol.2011.11.017

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] FINITE TYPE INVARIANTS OF ORDER 3 FOR A SPATIAL HANDCUFF GRAPH2012

    • Author(s)
      Taizo Kanenobu and Kaori Sugita
    • Journal Title

      Topology Appl

      Volume: 10 Issue: 04 Pages: 1-22

    • DOI

      10.1016/j.topol.2011.11.016

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016734

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Epimorphisms between 2-bridge links : Homotopically trivial simple loops on 2-bridge spheres2012

    • Author(s)
      Donghi Lee, Makoto Sakuma
    • Journal Title

      Proc. London Math. Soc.

      Volume: Vol.104 Issue: 2 Pages: 359-386

    • DOI

      10.1112/plms/pdr036

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Differences of Alexander polynomials for knots caused by a single crossing change2012

    • Author(s)
      Yasutaka NAKANISHI and Yuki OKADA
    • Journal Title

      Topology and its Applications

      Volume: Vol.159 Issue: 4 Pages: 1016-1025

    • DOI

      10.1016/j.topol.2011.11.023

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the crossing numbers of a virtual knot2012

    • Author(s)
      S. Satoh and Y. Tomiyama
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: Vol.140 Issue: 1 Pages: 367-376

    • DOI

      10.1090/s0002-9939-2011-10917-1

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Table of Genus Two Handlebody-Knots Up to Six Crossings2012

    • Author(s)
      Atsushi Ishii
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 21(掲載確定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On transforming a spatial graph into a plane graph2011

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Progress of Theoretical Physics Supplement

      Volume: Vol.191 Pages: 235-244

    • DOI

      10.1143/ptps.191.225

    • NAID

      110008798542

    • Related Report
      2011 Annual Research Report 2011 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Amphicheirality of links and Alexander invariants2011

    • Author(s)
      Teruhisa Kadokami
    • Journal Title

      SCIENCE CHINA Mathematics

      Volume: 54 Issue: 10 Pages: 2213-2227

    • DOI

      10.1007/s11425-011-4217-6

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] H(2)-Gordian distance of knots2011

    • Author(s)
      Taizo Kanenobu
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: Vol.20 Issue: 06 Pages: 813-835

    • DOI

      10.1142/s0218216511008991

    • Related Report
      2011 Annual Research Report 2011 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bridge presentations of virtual knots2011

    • Author(s)
      Mikami Hirasawa, Naoko Kamada and Seiichi Kamada
    • Journal Title

      J. Knot Theory Ramifications

      Volume: Vol.20 Pages: 881-893

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Infinite sequences of mutually non-conjugate surface braids representing same surface-links2011

    • Author(s)
      Masahide Iwakiri
    • Journal Title

      Proc. of the American Mathematical Society

      Volume: Vol.139 Issue: 1 Pages: 357-366

    • DOI

      10.1090/s0002-9939-2011-10893-1

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quandle cocycle invariants for spatial graphs and knotted handlebodies2011

    • Author(s)
      A. Ishii and M. Iwakiri
    • Journal Title

      Canadian J. Math.

      Volume: Vol.63 Issue: 1 Pages: 102-122

    • DOI

      10.4153/cjm-2011-035-0

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] An infinite family of Casson handles and the Rasmussen invariant of a knot2011

    • Author(s)
      Toshifumi Tanaka
    • Journal Title

      J. Knot Theory Ramifications

      Volume: Vol.20 Issue: 09 Pages: 1229-1236

    • DOI

      10.1142/s0218216511009297

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Factorization formulas and computations of higher-order Alexander invariants for homologically fibered knots2011

    • Author(s)
      Hiroshi Goda and Takuya Sakasai
    • Journal Title

      J. Knot Theory Ramifications

      Volume: Vol.20 Issue: 10 Pages: 1355-1380

    • DOI

      10.1142/s0218216511009303

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Band surgeries between knots and links with small crossing numbers2011

    • Author(s)
      Kai Ishihara and Koya Shimokawa
    • Journal Title

      Progress of Theoretical Physics Supplement

      Volume: Vol.191 Pages: 245-255

    • DOI

      10.1143/ptps.191.245

    • NAID

      110008798544

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Cyclic surgery between toroidal surgeries2011

    • Author(s)
      寺垣内政
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: Vol.54 Issue: 3 Pages: 556-560

    • DOI

      10.4153/cmb-2010-108-6

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Buchstaber invariants of skeleta of a simplex2011

    • Author(s)
      Y. Fukukawa, M. Masuda
    • Journal Title

      Osaka J. Math.

      Volume: Vol.48 Pages: 549-582

    • NAID

      120005986559

    • URL

      http://projecteuclid.org/euclid.ojm/1315318353

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On intrinsically knotted or completely 3-linked graphs2011

    • Author(s)
      R. Hanaki, R. Nikkuni, K. Taniyama, and A. Yamazaki
    • Journal Title

      Pacific J. Math.

      Volume: Vol.252 Issue: 2 Pages: 407-425

    • DOI

      10.2140/pjm.2011.252.407

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Alexander polynomials of knots with Gordian distance one2011

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Topology and Its applications

      Volume: 158(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Amphicheirality of links and Alexander invariants2011

    • Author(s)
      A.Kawauchi, T.Kadokami
    • Journal Title

      SCIENCE CHINA Mathematics

      Volume: 54(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] What is Knot Theory ? Why Is It In Mathematics?2011

    • Author(s)
      Akio Kawauchi
    • Journal Title

      OCAMI Studies

      Volume: 4 Pages: 1-15

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Infinite sequences of mutually non-conjugate surface braids representing same surface-links2011

    • Author(s)
      Masahide Iwakiri
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 139(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quandle cocycle invariants for spatial graphs and knotted handlebodies2011

    • Author(s)
      A.Ishii, M.Iwakiri
    • Journal Title

      Canadian Journal of Mathematics

      Volume: 63(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Surface-links represented by 4-charts and quandle cocycle invariants II2011

    • Author(s)
      Masahide Iwakiri
    • Journal Title

      Topology and its Applications

      Volume: 158(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Enumerating 3-manifolds with lengths up to 9 by a canonical order2010

    • Author(s)
      A. Kawauchi and I. Tayama
    • Journal Title

      Topology Appl.

      Volume: Vol.157 Issue: 1 Pages: 261-268

    • DOI

      10.1016/j.topol.2009.04.028

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Upper bound for the alternation number of a torus knot2010

    • Author(s)
      Taizo Kanenobu
    • Journal Title

      Topology Appl.

      Volume: Vol.157 Issue: 1 Pages: 302-318

    • DOI

      10.1016/j.topol.2009.04.025

    • Related Report
      2011 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homology groups of symmetric quandles and cocycle invariants of links and surface-links2010

    • Author(s)
      Seiichi Kamada and Kanako Oshiro
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: Vol.362 Issue: 10 Pages: 5501-5527

    • DOI

      10.1090/s0002-9947-2010-05131-1

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Almost alternating knots producing an alternating knot2010

    • Author(s)
      堀内澄子, 大山淑之
    • Journal Title

      J. Knot Theory Ramifications

      Volume: Vol.19 Issue: 04 Pages: 503-507

    • DOI

      10.1142/s0218216510007942

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On Alexander polynomials of open book decompositions of 3-manifolds2010

    • Author(s)
      Ryosuke Yamamoto
    • Journal Title

      Topology Appl.

      Volume: Vol.157 Issue: 1 Pages: 173-178

    • DOI

      10.1016/j.topol.2009.04.035

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Band surgery on knots and links2010

    • Author(s)
      Taizo Kanenobu
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 19 Pages: 1535-1547

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Invariants of conjugacy classes of surface braids derived from Alexander quandles or core quandles2010

    • Author(s)
      Masahide Iwakiri
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 1716 Pages: 43-52

    • NAID

      110007729378

    • Related Report
      2010 Annual Research Report
  • [Journal Article] On alternation numbers of links2010

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Topology and its applications 157

      Pages: 274-279

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Enumerating 3-manifolds with lengths up to 9 by a canonical order2010

    • Author(s)
      Akio Kawauchi, Ikuo Tayama
    • Journal Title

      Topology and its applications 157

      Pages: 261-268

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 結び目理論の科学への応用-プリオン分子モデルとこころのモデルを中心として2010

    • Author(s)
      河内明夫
    • Journal Title

      数学通信 14-4

      Pages: 26-45

    • NAID

      40017001185

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Upper bound for the alternation number of a torus knot2010

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Topology and its applications 157

      Pages: 302-318

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] H(2)-unknotting number of a knot2010

    • Author(s)
      Taizo Kanenobu, Yasuyuki Miyazawa
    • Journal Title

      Communications in Mathematical Research 25

      Pages: 433-460

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Band surgery on knots and links2010

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      J.Knot Theory Ramification 19(In press)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The lower bound of the w-indices of surface links via quandle cocycle invariants2010

    • Author(s)
      Masahide Iwakiri
    • Journal Title

      Transactions of the American Mathematical Society 362

      Pages: 1189-1210

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A table of θ-curves and handcuff graphs with up to seven crossings2010

    • Author(s)
      Hiromasa Moriuchi
    • Journal Title

      Noncommutativity and singularities, Adv.Stud.Pure Math., Math.Soc.Japan 55

      Pages: 281-290

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rational-slice knots via strongly negative-amphicheiral knots2009

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Communications in Mathematical Research 25

      Pages: 177-192

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a complexity of a spatial graph2009

    • Author(s)
      Akio Kawauchi
    • Journal Title

      物性研究:Knots and soft-matter physics, Topology of polymers and related topics in physics, mathematics and biology 92

      Pages: 16-19

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 位相幾何学の基礎,2009

    • Author(s)
      河内明夫
    • Journal Title

      トポロジーデザイニング(ブッカーズ出版)

      Pages: 127140-127140

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 絡み目の絡み数の絶対値を負の数の概念なしに定義すること2009

    • Author(s)
      河内明夫
    • Journal Title

      結び目の数学教育研究プロジェクト「結び目の数学教育への導入・小学生・中学生・高校生を対象として」(河内明夫・柳本朋子編) 3

      Pages: 13-21

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Enumerating homology spheres with lengths up to 10 by a canonicalorder2009

    • Author(s)
      Akio Kawauchi, Ikuo Tayama
    • Journal Title

      Proceedings of Intelligence of Low-Dimensional Topology 2009 in honor of Professor Kunio Murasugi's 80th birthday

      Pages: 83-92

    • Related Report
      2009 Annual Research Report
  • [Journal Article] The block numbers of 2-bridge knots and links2009

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Kobe J.Math. 26

      Pages: 1-15

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sharp-unknotting number of a torus knot.2009

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Kyungpook Mathematical Journal 49

      Pages: 583-594

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topology of prion proteins

    • Author(s)
      Akio kawauchi and Kayo Yoshida
    • Journal Title

      Journal of Mathematics and System Science

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Presentation] Prime amphicheiral knots admitting a free involution2012

    • Author(s)
      作間誠
    • Organizer
      結び目理論の展望
    • Place of Presentation
      早稲田大学
    • Year and Date
      2012-03-18
    • Related Report
      2011 Final Research Report
  • [Presentation] バンド手術の他の局所変形への応用2012

    • Author(s)
      金信泰造
    • Organizer
      研究集会「結び目理論の展望」
    • Place of Presentation
      早稲田大学(招待講演)
    • Year and Date
      2012-03-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] Fibered knots and Seifert surfaces2012

    • Author(s)
      Hiroshi Goda
    • Organizer
      International Week celebrating the 50th anniversary of University of Nantes University of Nantes
    • Place of Presentation
      France
    • Year and Date
      2012-03-15
    • Related Report
      2011 Final Research Report
  • [Presentation] Tangle analysis of unlinking by XerCD-dif-FtsK system2012

    • Author(s)
      下川航也
    • Organizer
      International conference "Discrete and Topological Models in Molecular Biology"
    • Place of Presentation
      University of South Florida
    • Year and Date
      2012-03-13
    • Related Report
      2011 Final Research Report
  • [Presentation] Band surgery on knots with applications to other local moves2012

    • Author(s)
      Taizo Kanenobu
    • Organizer
      アメリカ数学会春期西部会合,特別会議『線形および環状ポリマーモデルにおける結び目』ハワイ大学
    • Place of Presentation
      アメリカ合衆国
    • Year and Date
      2012-03-04
    • Related Report
      2011 Final Research Report
  • [Presentation] Band surgery on knots with applications to other local moves2012

    • Author(s)
      Taizo Kanenobu
    • Organizer
      アメリカ数学会春期西部会合特別会議『線形および環状ポリマーモデルにおける結び目』
    • Place of Presentation
      ハワイ大学,アメリカ合衆国(招待講演)
    • Year and Date
      2012-03-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] Topology of prion proteins2012

    • Author(s)
      Akio Kawauchi
    • Organizer
      AMS Special Session on Knotting in Linear and Ring Polymer Models
    • Place of Presentation
      University of Hawaii at Manoa, U. S. A
    • Year and Date
      2012-03-03
    • Related Report
      2011 Final Research Report
  • [Presentation] Iterated circle bundles2012

    • Author(s)
      Mikiya Masuda
    • Organizer
      アメリカ数学会特別会合Transformation groups in topology
    • Place of Presentation
      ハワイ大学(アメリカ)
    • Year and Date
      2012-03-03
    • Related Report
      2011 Final Research Report
  • [Presentation] Topology of prion proteins (a joint work with Kayo Yoshida)2012

    • Author(s)
      Akio Kawauchi
    • Organizer
      AMS Special Session on Knotting in Linear and Ring Polymer Models
    • Place of Presentation
      University of Hawaii at Manoa, U.S.A.(招待講演)
    • Year and Date
      2012-03-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] On connected sum of generalized Kinoshita's theta-curves2012

    • Author(s)
      Hiromasa Moriuchi
    • Organizer
      The 8th East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST, Korea(招待講演)
    • Year and Date
      2012-01-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] Twisted biquandles and invariants of twisted links2012

    • Author(s)
      S. Kamada
    • Organizer
      国際研究集会The Eighth East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST, Daejeon,韓国
    • Year and Date
      2012-01-10
    • Related Report
      2011 Final Research Report
  • [Presentation] Virtual graph presentations of ribbon surface-knots2012

    • Author(s)
      S. Satoh
    • Organizer
      The 8th East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST, Daejeon, Korea
    • Year and Date
      2012-01-09
    • Related Report
      2011 Final Research Report
  • [Presentation] Topology of prion proteins (a joint work with Kayo Yoshida)2012

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 8th East AsianSchool of knots and related topics
    • Place of Presentation
      KAIST, Daejon, Korea(招待講演)
    • Year and Date
      2012-01-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] Surface-knots in the stable 4-space2012

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 20th TAPU seminar
    • Place of Presentation
      Kyungpook National University, Daegu, Korea(招待講演)
    • Year and Date
      2012-01-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] 結び目数学入門(結び目を知ること),結び目数学入門(結び目と絡み目を構成する)2011

    • Author(s)
      河内明夫
    • Organizer
      中学校数学研究部および高等学校数学研究同好会対象特別講義
    • Place of Presentation
      咲くやこの花中学校・高等学校(招待講演)
    • Year and Date
      2011-11-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] 結び目理論を応用した領域選択ゲームについて2011

    • Author(s)
      河内明夫
    • Organizer
      研究集会「トポロジーとコンピュータ2011」
    • Place of Presentation
      名城大学名駅サテライト(招待講演)
    • Year and Date
      2011-11-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] 2-knots in the stable 4-space2011

    • Author(s)
      河内明夫
    • Organizer
      研究集会「4次元トポロジー」
    • Place of Presentation
      広島大学(招待講演)
    • Year and Date
      2011-11-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Topology of prion proteins (a joint work with Kayo Yoshida)2011

    • Author(s)
      Akio Kawauchi
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      東北大学さくらホール(招待講演)
    • Year and Date
      2011-10-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 数学「結び目理論」を応用した電子ゲーム装置2011

    • Author(s)
      河内明夫
    • Organizer
      大阪府立大学・大阪市立大学新技術説明会
    • Place of Presentation
      科学技術振興機構JSTホール(東京・市ヶ谷)
    • Year and Date
      2011-10-14
    • Related Report
      2011 Final Research Report
  • [Presentation] 数学「結び目理論」を応用した電子ゲーム装置2011

    • Author(s)
      河内明夫
    • Organizer
      大阪府立大学・大阪市立大学新技術説明会
    • Place of Presentation
      科学技術振興機構JSTホール(東京・市ヶ谷)(招待講演)
    • Year and Date
      2011-10-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] 数学「結び目理論」を応用した電子ゲームとその製品化2011

    • Author(s)
      河内明夫
    • Organizer
      科学情報発信セミナー
    • Place of Presentation
      奈良女子大学(招待講演)
    • Year and Date
      2011-10-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] 3次元多様体の列挙についての現状報告2011

    • Author(s)
      田山育男
    • Organizer
      2011年(秋季)日本数学会トポロジー分科会
    • Place of Presentation
      信州大学
    • Year and Date
      2011-09-29
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] The Alexander polynomials of immersed cobordant links2011

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 19th TAPU Seminar
    • Place of Presentation
      Seacloud Hotel at Haeundae, Busan、Korea(招待講演)
    • Year and Date
      2011-09-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Topology of prion proteins (joint work with Kayo Yoshida)2011

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 19th TAPU Seminar
    • Place of Presentation
      Seacloud Hotel at Haeundae, Busan、Korea(招待講演)
    • Year and Date
      2011-09-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Ribbon torus knots presented by virtual knots with up to 4 crossings2011

    • Author(s)
      Taizo Kanenobu
    • Organizer
      The 19th TAPU Seminar on Knots and Related Topics
    • Place of Presentation
      Seacloud Hotel,釜山,韓国(招待講演)
    • Year and Date
      2011-09-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Band surgery on unoriented knots and links2011

    • Author(s)
      Taizo Kanenobu
    • Organizer
      The 19th TAPU Seminar on Knots and Related Topics
    • Place of Presentation
      Seacloud Hotel,釜山,韓国(招待講演)
    • Year and Date
      2011-09-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] On symmetry of the Jones polynomial of ribbon knots2011

    • Author(s)
      田中利史
    • Organizer
      The 3rd KOOK. TAPU Joint Seminar on Knot Theory and Related Topics
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2011-07-26
    • Related Report
      2011 Final Research Report
  • [Presentation] On connected sum of theta-curves2011

    • Author(s)
      Hiromasa Moriuchi
    • Organizer
      The 3rd KOOK-TAPU Joint Seminar on Knots and Related Topics
    • Place of Presentation
      大阪市立大学(招待講演)
    • Year and Date
      2011-07-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] Band surgery on 2-component links2011

    • Author(s)
      Taizo Kanenobu
    • Organizer
      第3回結び目理論に関するKOOK-TAPU合同セミナー
    • Place of Presentation
      大阪市立大学(招待講演)
    • Year and Date
      2011-07-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 結び目を知ること2011

    • Author(s)
      河内明夫
    • Organizer
      大阪府公立中学校数学教育研究会総会講演
    • Place of Presentation
      大阪教育大学天王寺キャンパス(招待講演)
    • Year and Date
      2011-06-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Band surgery on 2-component links2011

    • Author(s)
      Taizo Kanenobu
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学(招待講演)
    • Year and Date
      2011-06-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] 結び目理論を応用する(清水理佳氏との共同講演)2011

    • Author(s)
      河内明夫
    • Organizer
      大阪市立大学学術戦略会議
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2011-06-14
    • Related Report
      2011 Final Research Report
  • [Presentation] 結び目理論を応用する2011

    • Author(s)
      河内明夫
    • Organizer
      大阪市立大学学術戦略会議
    • Place of Presentation
      大阪市立大学(招待講演)
    • Year and Date
      2011-06-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] Immersed link cobordism and multi-variable Alexander polynomial2011

    • Author(s)
      Akio Kawauchi
    • Organizer
      Colloquium talk
    • Place of Presentation
      East China Normal University, Shanghai, China(招待講演)
    • Year and Date
      2011-05-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Knot Theory for Spatial Graphs2011

    • Author(s)
      Akio Kawauchi
    • Organizer
      Colloquium talk
    • Place of Presentation
      East China Normal University, Shanghai, China(招待講演)
    • Year and Date
      2011-05-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Recent applications of topological imitation theory2011

    • Author(s)
      Akio Kawauchi
    • Organizer
      Workshop on Low Dimensional Topology in Shanghai and Suzhou
    • Place of Presentation
      East China Normal University, Shanghai, China(招待講演)
    • Year and Date
      2011-05-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Enumerating 3-manifolds with the first homology groups isomorphic to (Z/nZ)+(Z/nZ) with lengths up to 102011

    • Author(s)
      Ikuo Tayama
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学(招待講演)
    • Year and Date
      2011-04-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] Ribbon torus knots presented by virtual knots with up to 4 crossings2011

    • Author(s)
      Taizo Kanenobu
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      Osaka City University(招待講演)
    • Year and Date
      2011-01-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] Covering link polynomials for generalized Kinoshita's theta-curve2011

    • Author(s)
      Hiromasa Moriuchi
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      Osaka City University(招待講演)
    • Year and Date
      2011-01-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] Braid index of the connected sum of a spun trefoil and a 2-twist spuntrefoil is five2011

    • Author(s)
      Masahide Iwakiri
    • Organizer
      The Seventh East Asian School of Knots and Related Topics
    • Place of Presentation
      Hiroshima University(招待講演)
    • Year and Date
      2011-01-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] Knot Theory2011

    • Author(s)
      Akio Kawauchi
    • Organizer
      a series of lectures at Pusan National University Invited Visiting Professor Program
    • Place of Presentation
      Pusan National University(招待講演)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Knot theory for spatial graphs2010

    • Author(s)
      Akio Kawauchi
    • Organizer
      A colloquium talk of Pusan National University
    • Place of Presentation
      Pusan National University(招待講演)
    • Year and Date
      2010-12-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Surface-links represented by 4-charts and quandle cocycle invariants II2010

    • Author(s)
      Masahide Iwakiri
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      Osaka City University(招待講演)
    • Year and Date
      2010-12-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] Immersed link cobordism and multi-variable Alexander polynomial2010

    • Author(s)
      Akio Kawauchi
    • Organizer
      Four Dimensional Topology
    • Place of Presentation
      Hiroshima University(招待講演)
    • Year and Date
      2010-11-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Immer sed I ink cobordism and Al exander polynomial2010

    • Author(s)
      河内明夫
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      山形県山形市遊学館(招待講演)
    • Year and Date
      2010-10-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Fox colorings and cocycle invariants of roll-spun knots2010

    • Author(s)
      岩切雅英
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      山形市遊学館(招待講演)
    • Year and Date
      2010-10-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the Al exander polynomials of Gordian distance one2010

    • Author(s)
      Akio Kawauchi
    • Organizer
      5th Japan-Mexico Topology Conference
    • Place of Presentation
      Universidad de Colima, Mexico(招待講演)
    • Year and Date
      2010-10-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] Surface-links represented by 4-charts and quandle cocycle invariants II2010

    • Author(s)
      Masahide Iwakiri
    • Organizer
      International Conference Japan-Mexico on Topology and its Applications
    • Place of Presentation
      コリマ大学(Mexico)(招待講演)
    • Year and Date
      2010-09-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Finite type invariants for a spatial handcuff graph2010

    • Author(s)
      Taizo Kanenobu
    • Organizer
      5th Japan-Mexico Topology Conference
    • Place of Presentation
      Universidad de Colima, Mexico(招待講演)
    • Year and Date
      2010-09-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] 解析学セミナーに参加してII2010

    • Author(s)
      田山育男
    • Organizer
      数学教育学会秋季例会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Application of knot theory to prion diseases2010

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 48th Annual Meeting of the Biophysical Society of Japan
    • Place of Presentation
      東北大学(招待講演)
    • Year and Date
      2010-09-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] Braid index of the connected sum of a spun trefoil and a 2-twist spuntrefoil is five2010

    • Author(s)
      Masahide Iwakiri
    • Organizer
      Knots in Chicago
    • Place of Presentation
      イリノイ大学シカゴ校(招待講演)
    • Year and Date
      2010-09-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] アレクサンダー加群(Alexander module)2010

    • Author(s)
      河内明夫
    • Organizer
      広島大学数学教室談話会
    • Place of Presentation
      広島大学(招待講演)
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] 絡み目のもろて性とアレクサンダー不変量2010

    • Author(s)
      河内明夫
    • Organizer
      広島大学トポロジー・幾何セミナー
    • Place of Presentation
      広島大学(招待講演)
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Braids and knots in mathematics, and a 4-dimensional generalization2010

    • Author(s)
      Masahide Iwakiri
    • Organizer
      Colloquium-Fall 2010
    • Place of Presentation
      University of South Florida(招待講演)
    • Year and Date
      2010-09-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] Enumerations of spatial trivalent graphs2010

    • Author(s)
      森内博正
    • Organizer
      第57回トポロジーシンポジウム
    • Place of Presentation
      さん太ホール(招待講演)
    • Year and Date
      2010-08-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] On transforming a spatial graph into a plane graph2010

    • Author(s)
      Akio Kawauchi
    • Organizer
      International Conference "Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins"
    • Place of Presentation
      京都大学基礎物理研究所(招待講演)
    • Year and Date
      2010-08-02
    • Related Report
      2010 Annual Research Report
  • [Presentation] Cross-change and Alexander polynomial2010

    • Author(s)
      Akio Kawauchi
    • Organizer
      2nd TAPU-KOOK joint Seminar
    • Place of Presentation
      Kyungpook National University(招待講演)
    • Year and Date
      2010-07-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Finite type invariants for a spatial handcuff graph2010

    • Author(s)
      Taizo Kanenobu
    • Organizer
      2nd TAPU-KOOK joint Seminar
    • Place of Presentation
      Kyungpook National University(招待講演)
    • Year and Date
      2010-07-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] Invariants of conjugacy classes of surface braids derived from Alexan-der quandles or core quandles2010

    • Author(s)
      岩切雅英
    • Organizer
      Lefschetz fibration and category theory
    • Place of Presentation
      大阪大学(招待講演)
    • Year and Date
      2010-06-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 空間グラフのイミテーションの理論(Theory of spatial graph imitations)2010

    • Author(s)
      河内明夫
    • Organizer
      東北大学数学教室談話会
    • Place of Presentation
      東北大学(招待講演)
    • Year and Date
      2010-06-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Finite type invariants for a spatial handcuff graph2010

    • Author(s)
      Taizo Kanenobu
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      Osaka City University(招待講演)
    • Year and Date
      2010-06-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the Alexander polynomials of Gordian distance one2010

    • Author(s)
      河内明夫
    • Organizer
      Knotting Nagoya
    • Place of Presentation
      名古屋工業大学(招待講演)
    • Year and Date
      2010-06-05
    • Related Report
      2010 Annual Research Report
  • [Presentation] Invariants of conjugacy classes of surface braids derived from Alexan-der quandles or core quandles2010

    • Author(s)
      岩切雅英
    • Organizer
      Intelligence of Low-dimensional Topology
    • Place of Presentation
      京都大学(招待講演)
    • Year and Date
      2010-06-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] 空間グラフの有限型不変量の基底について2010

    • Author(s)
      金信泰造
    • Organizer
      研究会「ハンドル体結び目とその周辺III」
    • Place of Presentation
      東京女子大学(招待講演)
    • Year and Date
      2010-05-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Infinite sequences of mutually non-conjugate surface braids representing same surface-links2010

    • Author(s)
      Masahide Iwakiri
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      Osaka City University(招待講演)
    • Year and Date
      2010-04-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] An enumeration of non-prime theta-curves and handcuff graphs with up to seven crossings2010

    • Author(s)
      Hiromasa Moriuchi
    • Organizer
      BK21 Seminar
    • Place of Presentation
      KAIST (Korea)(招待講演)
    • Year and Date
      2010-04-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] 解析学セミナーに参加して2010

    • Author(s)
      田山育男
    • Organizer
      数学教育学会春季年会
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2010-03-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] 4-チャートで表された曲面絡み目のw-指数とカンドルコサイクル不変量について2010

    • Author(s)
      岩切雅英
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶磨大学
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Applying spatial graph imitations2010

    • Author(s)
      Akio Kawauchi
    • Organizer
      The Sixth East Asian School of Knots and Related Topics
    • Place of Presentation
      Chern Institute of Mathematics, China
    • Year and Date
      2010-01-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] H(2)-Gordian distance of knots2010

    • Author(s)
      Taizo Kanenobu
    • Organizer
      The 6th East Asian School of Knots and Related Topics
    • Place of Presentation
      Chern Institute of Mathematics, China
    • Year and Date
      2010-01-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Invariants of conjugacy classes of surface braids derived from Foxn-colorings2010

    • Author(s)
      Masahide Iwakiri
    • Organizer
      The Sixth East Asian School of Knots and Related Topics
    • Place of Presentation
      Chern Institute of Mathematics, China
    • Year and Date
      2010-01-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Rational-slice knots via strongly negative-amphicheiral knots2010

    • Author(s)
      河内明夫
    • Organizer
      4次元のトポロジー
    • Place of Presentation
      広島大学
    • Year and Date
      2010-01-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] An enumeration of non-prime theta-curves and handcuff graphs with up to seven crossings2010

    • Author(s)
      Hiromasa Moriuchi
    • Organizer
      The Sixth East Asian School of Knots and Related Topics
    • Place of Presentation
      Chern Institute of Mathematics, China
    • Year and Date
      2010-01-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] H(2)-Gordian distance of knots2009

    • Author(s)
      Taizo Kanenobu
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-11-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Enumerating homology spheres with lengths up to 10 by a canonicalorder (joint work with Akio Kawauchi)2009

    • Author(s)
      Ikuo Tayama
    • Organizer
      Intelligence of Low Dimensional Topology
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-11-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] Surface-links represented by 4-charts and quandle trivial 1-handle surgeries2009

    • Author(s)
      Masahide Iwakiri
    • Organizer
      Intelligence of low dimensional topology
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-11-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] Applying spatial graph imitations to links2009

    • Author(s)
      河内明夫
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      山形テルサ(山形市)
    • Year and Date
      2009-10-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] 東北結び目セミナー2009

    • Author(s)
      森内博正
    • Organizer
      An enumeration of non~prime theta-curves and handcuff graphs with up to seven crossings
    • Place of Presentation
      山形テルサ(山形市)
    • Year and Date
      2009-10-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] H(2)-Gordian distance of knots2009

    • Author(s)
      金信泰造
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      山形テルサ(山形市)
    • Year and Date
      2009-10-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Surface-links represented by 4-charts and quandle cocycle invariants2009

    • Author(s)
      Masahide Iwakiri
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-10-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] 数学教育の講義から(フィポナッチ数列)2009

    • Author(s)
      田山育男
    • Organizer
      数学教育学会秋季例会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Singular surface-links with braid index 32009

    • Author(s)
      岩切雅英
    • Organizer
      日本数学会秋季分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 結び目理論の科学への応用-プリオン分子モデルとこころのモデルを中心として2009

    • Author(s)
      河内明夫
    • Organizer
      日本数学会市民講演会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] Band surgery on knots and links2009

    • Author(s)
      Taizo Kanenobu
    • Organizer
      The first KOOK-TAPU Joint Seminar(=TOP Seminar) on Knot Theory and Related Topics
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-08-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] On the Alexander polynomials of knots with Gordian distance one2009

    • Author(s)
      Akio Kawauchi
    • Organizer
      The first KOOK-TAPU Joint Seminar(=TOP Seminar) on Knot Theory and Related Topics
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-08-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] 4次元空間内の曲面と曲面ブレイド2009

    • Author(s)
      岩切雅英
    • Organizer
      大阪市立大学院生談話会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2009-08-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quandle cocycle invariants of surface-links with braid index 42009

    • Author(s)
      Masahide Iwakiri
    • Organizer
      研究会「Workshop on Topology and Geometry」-Quandles and Related Topics-
    • Place of Presentation
      広島大学
    • Year and Date
      2009-07-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] A crossing change of a knot and the Alexander polynomials2009

    • Author(s)
      河内明夫
    • Organizer
      Knotting Nagoya
    • Place of Presentation
      名古屋工業大学
    • Year and Date
      2009-07-04
    • Related Report
      2009 Annual Research Report
  • [Book] 曲面結び目理論2012

    • Author(s)
      鎌田聖一
    • Total Pages
      247
    • Publisher
      丸善出版株式会社
    • Related Report
      2011 Final Research Report
  • [Book] Networking Seifert surgeries on knots2012

    • Author(s)
      Arnaud Deruelle, Katura Miyazaki and Kimihiko Motegi
    • Total Pages
      130
    • Publisher
      Memoirs Amer
    • Related Report
      2011 Final Research Report
  • [Book] Teaching and Learning of Knot Theory in School Mathematics2011

    • Author(s)
      河内明夫・柳本朋子
    • Total Pages
      188
    • Publisher
      OCAMI Studies
    • Related Report
      2011 Final Research Report
  • [Book] Teaching and Learning of Knot Theory in School Mathematics2011

    • Author(s)
      Akio Kawauchi, Tomoko Yanagimoto(共編著)
    • Total Pages
      188
    • Publisher
      Osaka Municipal Universities Press
    • Related Report
      2010 Annual Research Report
  • [Book] レクチャー結び目理論(韓国語版)2009

    • Author(s)
      河内明夫
    • Total Pages
      225
    • Publisher
      KyungMoon Publishers
    • Related Report
      2009 Annual Research Report
  • [Remarks] (ホームページ)

    • URL

      http://math01.sci.osaka-cu.ac.jp/OCAMI/index.html

    • Related Report
      2011 Final Research Report
  • [Remarks] (報道)朝日新聞2011年6月17日・Asahi. com 2011年6月19日,「結び目理論を応用した領域選択ゲーム」の記事

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://math01.sci.osaka-cu.ac.jp/OCAMI/index.html

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://math01.sci.osaka-cu.ac.jp/OCAMI/index.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://math01.sci.osaka-cu.ac.jp/OCAMI/index.html

    • Related Report
      2009 Annual Research Report
  • [Patent(Industrial Property Rights)] スイッチングシステム2012

    • Inventor(s)
      河内明夫、清水理佳、岸本健吾
    • Industrial Property Rights Holder
      公立大学法人大阪市立大学
    • Industrial Property Number
      2012-094282
    • Filing Date
      2012-04-17
    • Related Report
      2011 Final Research Report
  • [Patent(Industrial Property Rights)] ゲーム装置、及びゲームプログラム2011

    • Inventor(s)
      河内明夫、清水理佳、岸本健吾
    • Industrial Property Rights Holder
      公立大学法人大阪市立大学
    • Industrial Property Number
      2011-095520
    • Filing Date
      2011-04-21
    • Related Report
      2011 Final Research Report
  • [Patent(Industrial Property Rights)] ゲーム装置、及びゲームプログラム2011

    • Inventor(s)
      河内明夫、清水理佳、岸本健吾
    • Industrial Property Rights Holder
      公立大学法人大阪市立大学
    • Industrial Property Number
      2011-158263
    • Filing Date
      2011-07-19
    • Related Report
      2011 Final Research Report
  • [Patent(Industrial Property Rights)] ゲーム装置、およびゲームプログラム2011

    • Inventor(s)
      河内明夫, 岸本健吾, 清水理佳
    • Industrial Property Rights Holder
      公立大学法人大阪市立大学
    • Industrial Property Number
      2011-095520
    • Filing Date
      2011-04-21
    • Related Report
      2011 Annual Research Report
  • [Patent(Industrial Property Rights)] ゲーム装置、およびゲームプログラム2011

    • Inventor(s)
      河内明夫, 岸本健吾, 清水理佳
    • Industrial Property Rights Holder
      公立大学法人大阪市立大学
    • Industrial Property Number
      2011-158263
    • Filing Date
      2011-07-19
    • Related Report
      2011 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2018-05-02  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi