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Studies of knot theory and their applications

Research Project

Project/Area Number 24244005
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, 特任教授 (00112524)

Co-Investigator(Kenkyū-buntansha) 金信 泰造  大阪市立大学, 理学(系)研究科(研究院), 教授 (00152819)
田山 育男  大阪市立大学, 理学(系)研究科(研究院), 数学研究所員 (00382036)
森内 博正  大阪市立大学, 理学(系)研究科(研究院), 特任准教授 (20453128)
Co-Investigator(Renkei-kenkyūsha) KAMADA Seiichi  大阪市立大学, 大学院理学研究科, 教授 (60254380)
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)
TANIYAMA Kouki  教育・総合科学学術院, 教授 (10247207)
OOYAMA Toshiyuki  東京女子大学, 文理学部, 教授 (80223981)
MOTEGI Kimihiko  日本大学, 文理学部, 教授 (40219978)
GOUDA Hiroshi  東京農工大学, 共生科学技術研究院, 教授 (60266913)
SHIMOKAWA Koya  埼玉大学, 理工学研究科, 教授 (60312633)
TERAGAITO Masakazu  広島大学, 大学院教育学研究科, 教授 (80236984)
SATOU Shin  神戸大学, 大学院理学研究科, 教授 (90345009)
TANAKA Toshihumi  岐阜大学, 教育学部, 准教授 (60396851)
IWAKIRI Masahide  佐賀大学, 工学系研究科, 客員研究員 (10453127)
CHON Inde  近畿大学, 理工学部・総合理工学研究科, 講師 (30587788)
KISHIMOTO Kengo  大阪工業大学, 工学部, 講師 (70587774)
OTSUKI Tomotada  京都大数理解析研究所, 教授 (50223871)
SHIMIZU Ayaka  群馬工業高等専門学校, 一般教科(自然科学), 助教 (40638764)
Project Period (FY) 2012-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥46,280,000 (Direct Cost: ¥35,600,000、Indirect Cost: ¥10,680,000)
Fiscal Year 2016: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Fiscal Year 2015: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Fiscal Year 2014: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Fiscal Year 2013: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
Fiscal Year 2012: ¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000)
Keywords結び目理論 / トポロジー / 物理 / 化学 / 生物
Outline of Final Research Achievements

Using the knot as a key word, we have been working to encourage the development of mathematics in general, with a view of the related physics, chemistry and biology. Based on Osaka City University Mathematics Research Institute as an activity base and based on research cooperation agreements with 8 institutes in East Asia, we aimed to build a research network with Asia. We supported participation in many international or domestic regular meetings such as the satellite knot theory international conference of the Seoul International Congress of Mathematicians. Throughout these meetings, numerous important research results were obtained by a number of knot related researchers including research planning workers, which include research achievements obtaining two patents on the game "Region Select" applying the knot theory and solving a pending issue of 45 years of a ribbon 2-knot by the research representative.

Report

(6 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • Research Products

    (108 results)

All 2017 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (4 results) Journal Article (18 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 16 results,  Open Access: 9 results,  Acknowledgement Compliant: 9 results) Presentation (65 results) (of which Int'l Joint Research: 8 results,  Invited: 64 results) Book (6 results) Remarks (9 results) Patent(Industrial Property Rights) (1 results) Funded Workshop (5 results)

  • [Int'l Joint Research] 釜山国立大学(韓国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] 慶北国立大学/釜山国立大学(韓国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] インド工科大学, Ropar(インド)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] 北京大学/華東師範大学(中国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Supplement to a chord diagram of a ribbon surface-link2017

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 26 Issue: 05 Pages: 1750033-1750033

    • DOI

      10.1142/s021821651750033x

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A chord graph constructed from a ribbon surface-link2017

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Contemporary Mathematics

      Volume: 689

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Knot theory for spatial graphs attached to a surface2016

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Contemporary Mathematics

      Volume: 670 Pages: 141-169

    • DOI

      10.1090/conm/670/13448

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Quantization of the crossing number of a knot diagram2015

    • Author(s)
      Akio Kawauchi, Ayaka Shimizu
    • Journal Title

      Kyungpook Math. J.

      Volume: 55 Pages: 741-752

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Tabulation of 3-manifolds of lengths up to 102015

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

      Topology and its Applications

      Volume: 196 Pages: 937-975

    • DOI

      10.1016/j.topol.2015.05.036

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On 4-dimensinal universe for every 3-dimensional manifold2015

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Topology and its Applications

      Volume: 196 Pages: 575-593

    • DOI

      10.1016/j.topol.2015.05.035

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A chord diagram of a ribbon surface-link2015

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 24 Issue: 10 Pages: 1540002-1540002

    • DOI

      10.1142/s0218216515400027

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Characteristic genera of closed orientable 3-manifolds2015

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Kyungpook Math. J.

      Volume: 55 Pages: 753-771

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] On knotted real projective planes2015

    • Author(s)
      Yongju Bae, Seonmi Choi, Akio Kawauchi
    • Journal Title

      Journal of Knot Theory and Its Ramifications 24 (2015),

      Volume: 24 Issue: 10 Pages: 1540011-1540011

    • DOI

      10.1142/s0218216515400118

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2014

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Asia Pacific Journal of Mathematics

      Volume: 1 Pages: 86-106

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Splitting a 4-manifold with infinite cyclic fundamental group, revised in a definite case2014

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 23 Issue: 05 Pages: 1450029-1450029

    • DOI

      10.1142/s0218216514500291

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Alexander polynomials of immersed concordant links2014

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Boletin de la Sociedad Matematica Mexicana

      Volume: 20 Issue: 2 Pages: 559-578

    • DOI

      10.1007/s40590-014-0023-9

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] トポロジーと数学のいろいろな分野との関連2014

    • Author(s)
      河内明夫
    • Journal Title

      数理科学

      Volume: 11 Pages: 7-12

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Splitting a 4-manifold with infinite cyclic fundamental group, revised2013

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 22 Issue: 14 Pages: 1350081-1350081

    • DOI

      10.1142/s0218216513500818

    • Related Report
      2013 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 (韓国語版)2013

    • Author(s)
      河内明夫
    • Journal Title

      News letter of the Korean Mathematical Society

      Volume: 148 Pages: 10-20

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Topology of prion proteins2012

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Mathematics and System Science

      Volume: 2 Pages: 237-248

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Band surgery on knots and links, II2012

    • Author(s)
      Taizo Kanenobu
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 21 Issue: 09 Pages: 1250086-1250086

    • DOI

      10.1142/s0218216512500861

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] RIBBON TORUS KNOTS PRESENTED BY VIRTUAL KNOTS WITH UP TO 4 CROSSINGS2012

    • Author(s)
      Atsushi Ichimori
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 10 Issue: 17 Pages: 1-30

    • DOI

      10.1142/s0218216512400056

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016747

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] Characteristic genera of closed orientable 3-manifolds2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      Series Seminar Talks
    • Place of Presentation
      Dalian University of Technology(Dalian,China)
    • Year and Date
      2016-05-03
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Alexander polynomial of a middle cross-section of a 2-link2016

    • Author(s)
      河内明夫
    • Organizer
      2016琉球結び目セミナー
    • Place of Presentation
      てんぶす那覇(沖縄県那覇市)
    • Year and Date
      2016-02-20
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] On a cross-sectional link of an immersed sphere-link in 4-space,2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      2016 Winter TAPU Workshop
    • Place of Presentation
      Kyungpook National University(Daegu, Korea)
    • Year and Date
      2016-02-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On a cross-sectional link of an immersed sphere-link in 4-space2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学理学部F棟415号室(大阪府大阪市)
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On a cross-sectional link of an immersed sphere-link in 4-space2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      2016 International Workshop on Low-dimensional Topology in Dalian
    • Place of Presentation
      Dalian University of Technology(Dalian,China)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 図形数学の必要性・・・結び目の研究からわかること2016

    • Author(s)
      河内明夫
    • Organizer
      大阪私学数学教育研究会春の講演会
    • Place of Presentation
      大阪私学会館(大阪府大阪市)
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Cross-index of a graph2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      Workshop on graphs and knots
    • Place of Presentation
      Xiamen University(Xiamen, China)
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Crossing number of a graph associated to a tree2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      KOOK-TAPU Joint Seminar on Knots and Related Topics
    • Place of Presentation
      Pusan National University(Pusan, Korea)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Cross-index of a graph2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      International Workshop: Topology and graphs in polymer chemistry
    • Place of Presentation
      東京工業大学東工大蔵前会館手島精一記念会議室(東京都目黒区)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On Hosokawa polynomial of a link, dedicated to the memory of Professor Fujitsugu Hosokawa2016

    • Author(s)
      Akio Kawauchi
    • Organizer
      国際研究集会KOOK-TAPU Workshop of Knots in Tsushima Island
    • Place of Presentation
      対馬市交流センター(長崎県対馬市)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Cross-index of a graph2016

    • Author(s)
      河内明夫
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      東北大学片平キャンパスさくらホール(宮城県仙台市)
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Analytic function for all the orientable 3-manifolds via Blaschke product2016

    • Author(s)
      河内明夫
    • Organizer
      Mini-Workshop on Blaschke Product
    • Place of Presentation
      大阪市立大学理学部E棟E408(大阪府大阪市)
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Deforming a band-chord graph of a bounded ribbon surface-knot2016

    • Author(s)
      河内明夫
    • Organizer
      2016年度琉球結び目セミナー
    • Place of Presentation
      那覇市てんぶす那覇2階那覇市伝統工芸館会議室(沖縄県那覇市)
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Recent development on the characteristic genera of closed orientable 3-manifolds2015

    • Author(s)
      Akio Kawauchi
    • Organizer
      1st Pan Pacific International Conference on Topology and Applications
    • Place of Presentation
      Min Nan Normal University(Zhangzhou, China)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Splitting criteria for a definite 4-manifold with infinite cyclic fundamental group2015

    • Author(s)
      河内明夫
    • Organizer
      4次元のトポロジー
    • Place of Presentation
      大阪市立大学(大阪府大阪市)
    • Year and Date
      2015-11-20
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] A chord graph constructed from a ribbon surface-link2015

    • Author(s)
      Akio Kawauchi
    • Organizer
      AMS Special Session: Fullerton Spatial Graphs
    • Place of Presentation
      University of California at Fullerton(Fullerton, U. S. A.)
    • Year and Date
      2015-10-24
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A chord diagram for a ribbon surface-link and faithful equivalence2015

    • Author(s)
      Akio Kawauchi
    • Organizer
      TAPU Workshop in Jeju
    • Place of Presentation
      Jeju National University (Jeju, Korea)
    • Year and Date
      2015-09-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Chord diagram of ribbon surface-link2015

    • Author(s)
      河内明夫
    • Organizer
      瀬戸内結び目セミナー
    • Place of Presentation
      大島商船高等専門学校(山口県大島郡)
    • Year and Date
      2015-09-05
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Chord moves and faithful equivalence on ribbon surface-links2015

    • Author(s)
      河内明夫
    • Organizer
      拡大KOOKセミナー2015
    • Place of Presentation
      神戸大学(兵庫県神戸市)
    • Year and Date
      2015-08-19
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Moves on the chord diagram of a ribbon surface-link2015

    • Author(s)
      河内明夫
    • Organizer
      結び目の数理セミナー Knotting Nagoya
    • Place of Presentation
      名古屋工業大学(愛知県・名古屋市)
    • Year and Date
      2015-03-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Knot Theory and Sciences2015

    • Author(s)
      Akio Kawauchi
    • Organizer
      JST SAKURA Science Plan for Shimae University and Chonbuk National University
    • Place of Presentation
      島根大学(島根県・松江市)
    • Year and Date
      2015-02-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On ribbon surface-link2015

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 10th East Asian School of Knots and Related Topics
    • Place of Presentation
      Shanghai (China)
    • Year and Date
      2015-01-28
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Equivalence of chord diagrams for a ribbon surface-link2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      Colloquium at The Chinese University of Hong Kong
    • Place of Presentation
      Hong Kong (China)
    • Year and Date
      2014-11-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Smooth unknotting of a ribbon surface-knot2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      IMS Seminar at The Chinese University of Hong Kong
    • Place of Presentation
      Hong Kong (China)
    • Year and Date
      2014-11-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Smooth unknotting of a ribbon surface-knot2014

    • Author(s)
      河内明夫
    • Organizer
      研究集会「4次元トポロジー」
    • Place of Presentation
      大阪市立大学(大阪府・大阪市)
    • Year and Date
      2014-11-21
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Unknotting notions for spatial graphs2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      Discussion meeting related to Knot Theory
    • Place of Presentation
      Ropar (India)
    • Year and Date
      2014-10-27
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Chord systems for ribbon surface-knots2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      Workshop: Knots, Braids and Topology
    • Place of Presentation
      Mohali (India)
    • Year and Date
      2014-10-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Topological splitting of a 4-manifold with infinite cyclic fundamental group and its applications to surface-knot, theory2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      Workshop: Knots, Braids and Topology
    • Place of Presentation
      Mohali (India)
    • Year and Date
      2014-10-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The equivalence on chord diagrams of a ribbon surface-link2014

    • Author(s)
      河内明夫
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      カレッジプラザ(秋田県・秋田市)
    • Year and Date
      2014-10-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Splitting a smooth 4-manifold with infinite cyclic fundamental group2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      ICM satellite conference “Knots and low dimensional manifolds”
    • Place of Presentation
      Busan (Korea)
    • Year and Date
      2014-08-23
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Unknotting notions for spatial graphs2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 2014 KMJ Conference for Accreditation Strategies
    • Place of Presentation
      Daegue (Korea)
    • Year and Date
      2014-08-08
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A chord diagram for a ribbon surface-link2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      6th KOOK-TAPU Joint Seminar
    • Place of Presentation
      Daejeon (Korea)
    • Year and Date
      2014-07-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Disk-arc presentations of ribbon surface-links2014

    • Author(s)
      河内明夫
    • Organizer
      研究集会Hurwitz action~ひねる代数~
    • Place of Presentation
      草津セミナーハウス
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] DNA・蛋白質と結び目のトポロジー2014

    • Author(s)
      河内明夫
    • Organizer
      神戸薬科大学特別セミナー
    • Place of Presentation
      神戸薬科大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Topological splitting of a 4-manifold with infinite cyclic fundamental group2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      AKOOS-PNU International Conference
    • Place of Presentation
      Pusan National University, Pusan, Korea
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Introduction to Knot Theory2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      華東師範大学連続講義
    • Place of Presentation
      華東師範大学、中国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Topological splitting of a 4-manifold with infinite cyclic fundamental group, On 4-dimensinal universe for every 3-dimensional manifold2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      Topology Seminar
    • Place of Presentation
      北京大学、中国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      Topology Seminar
    • Place of Presentation
      復旦大学、中国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] イミテーション理論2013

    • Author(s)
      河内明夫
    • Organizer
      神戸大学集中講義
    • Place of Presentation
      神戸大学理学研究科
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Knot theory for spatial graphs with the degree one vertices on a closed surface2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      Conference on Spatial Graphs
    • Place of Presentation
      Loyola Marymount University (U. S. A.)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 結び目の不思議な世界と数学2013

    • Author(s)
      河内明夫
    • Organizer
      文部科学省委託事業「数理学生応援プロジェクト」
    • Place of Presentation
      島根大学総合理工学部
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Knot theory for spatial graphs (Topology for spatial graphs without degree one vertices, Several notions on unknotted graphs, The unknotting number of a spatial graph in each notion of unknotted graphs, Spatial graphs with degree one vertices on a surface)2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      Summer School in China
    • Place of Presentation
      大連交通大学国際文化交流中心,大連,中国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 結び目の不思議な世界2013

    • Author(s)
      河内明夫
    • Organizer
      大阪市立大学文化交流センター夏期講座
    • Place of Presentation
      大阪市立大学文化交流センター(大阪駅前第2ビル6階)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 無限巡回被覆の符号数について(結び目と絡み目の符号数との関係、4次元多様体との関係、“Universe for 3-manifolds"への応用)2013

    • Author(s)
      河内明夫
    • Organizer
      Knotting Nagoya
    • Place of Presentation
      名古屋工業大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Universe for 3-manifolds2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      International Conference on Topology and Geometry 2013 joint with the 6th Japan-Mexico Topology Symposium
    • Place of Presentation
      Shimane University
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Component-conservative invertibility of links and Samsara 4-manifolds2013

    • Author(s)
      河内明夫
    • Organizer
      2013琉球結び目セミナー
    • Place of Presentation
      那覇市ぶんかテンブス館3階
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      Topology Seminar
    • Place of Presentation
      Pusan National University, Pusan, Korea
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 結び目の不思議な世界の数学の旅2013

    • Author(s)
      河内明夫
    • Organizer
      東京女子大学学会講演会
    • Place of Presentation
      東京女子大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 曲面に接した空間グラフのトポロジー2013

    • Author(s)
      河内明夫
    • Organizer
      東京女子大トポロジーセミナー
    • Place of Presentation
      東京女子大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Splitting a 4-manifold with infinite cyclic fundamental group, revised2013

    • Author(s)
      河内明夫
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      東北大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 結び目をどのように教育するか2013

    • Author(s)
      河内明夫
    • Organizer
      N-KOOKセミナー
    • Place of Presentation
      大阪市立大学文化交流センター, 大阪駅前第2ビル6階
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Mini-course on knot theory for spatial graphs (Topology for spatial graphs without degree one vertices, Unknotting notions on the spatial graphs, Spatial graphs with degree one vertices attaching to a surface)2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      Advanced School on Knot Theory and its applications
    • Place of Presentation
      IIT Ropar, Punjab, India
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      Discussion Meeting on Knot Theory and its applications
    • Place of Presentation
      IIT Ropar, Punjab, India
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Tabulation of 3-manifolds of lengths up to 102013

    • Author(s)
      Akio Kawauchi
    • Organizer
      9th East Asian School of Knots and Related Topics
    • Place of Presentation
      University of Tokyo
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On universal 4-manifolds for 3-manifolds2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      2013 TAPU Winter Workshop on Knots and Related Topics
    • Place of Presentation
      Kyungpook National University(韓国)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On 4-manifolds with every 3-manifold embedded2013

    • Author(s)
      河内 明夫
    • Organizer
      E-KOOK セミナー
    • Place of Presentation
      大阪市立大学学術情報総合センター10 階
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Example of a 4-manifold with eve ry close d 3-manifold embedded2013

    • Author(s)
      河内 明夫
    • Organizer
      Knots in east Osaka VI
    • Place of Presentation
      大阪工業大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Tabulation of 3-manifolds of lengths up to 102013

    • Author(s)
      田山育男
    • Organizer
      E-KOOK セミナー
    • Place of Presentation
      大阪市立大学学術情報総合センター10階
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 7交点以下のタングルについての注意点2013

    • Author(s)
      森内博正
    • Organizer
      E-KOOKセミナー
    • Place of Presentation
      大阪市立大学学術情報総合センター10 階
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] バンド手術で移り合う絡み目(金信泰造・森内博正の共同研究)2013

    • Author(s)
      森内博正
    • Organizer
      日本数学会2013年度年会 トポロジー分科会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Homology of an open 4-manifold with every closed 3-manifold embedded2012

    • Author(s)
      Akio Kawauchi
    • Organizer
      2012 TAPU Workshop on Knot Theory (The 4th TAPU-KOOK Joint Seminar on Knots and Related Topics) and TAPU Summer School on Quandle Theory
    • Place of Presentation
      Pusan National University(韓国)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On non-homeomorphic prime link exteriors with the same fundamental group2012

    • Author(s)
      河内 明夫
    • Organizer
      2012琉球結び目セミナー
    • Place of Presentation
      那覇市ぶんかテンブス館
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Signature theorem for an ∞-cyclic covering of a non-compact even-dimensional manifold2012

    • Author(s)
      河内 明夫
    • Organizer
      東北結び目セミナー2012
    • Place of Presentation
      山形大学小白川キャンパス
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On the homology of an open 4-manifold with every closed 3-manifold embedded2012

    • Author(s)
      河内 明夫
    • Organizer
      4次元トポロジー
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] SH(3)-move and other local moves on knots2012

    • Author(s)
      Taizo Kanenobu
    • Organizer
      2012 TAPU Workshop on Knot Theory (The 4th TAPU-KOOK Joint Seminar on Knots and Related Topics) and TAPU Summer School on Quandle Theory
    • Place of Presentation
      Pusan National University(韓国)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Book] 「結び目の数学教育」への導入ー小学生・中学生・高校生を対象としてー第5号(河内明夫・柳本朋子編)2017

    • Author(s)
      河内明夫
    • Total Pages
      212
    • Publisher
      「結び目の数学教育」研究プロジェクト
    • Related Report
      2016 Annual Research Report
  • [Book] 結び目の理論2015

    • Author(s)
      河内明夫
    • Total Pages
      231
    • Publisher
      共立出版
    • Related Report
      2015 Annual Research Report
  • [Book] 「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-第4号 (河内明夫・柳本朋子編)2014

    • Author(s)
      河内明夫
    • Total Pages
      182
    • Publisher
      「結び目の数学教育」研究プロジェクト
    • Related Report
      2013 Annual Research Report
  • [Book] 結び目理論とゲーム2013

    • Author(s)
      河内明夫、岸本健吾、清水理佳
    • Total Pages
      115
    • Publisher
      朝倉書店
    • Related Report
      2013 Annual Research Report
  • [Book] Teaching and Learning of Knot Theory in School Mathematics2012

    • Author(s)
      Akio Kawauchi (editor)
    • Total Pages
      188
    • Publisher
      Springer Verlag
    • Related Report
      2012 Annual Research Report
  • [Book] Chapter 7, Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology, in: "Qualitative Mathematics for the Social Sciences, Mathematical Models for Research on Cultural Dynamics"(edited by Lee Rudolph)2012

    • Author(s)
      Akio Kawauchi
    • Publisher
      Routledge
    • Related Report
      2012 Annual Research Report
  • [Remarks] KAWAUCHI, Akio's Papers

    • URL

      http://www.sci.osaka-cu.ac.jp/~kawauchi/index.html

    • Related Report
      2016 Annual Research Report
  • [Remarks] 大阪市立大学数学研究所業績データ

    • URL

      http://www.sci.osaka-cu.ac.jp/OCAMI/about/achievement.html

    • Related Report
      2016 Annual Research Report
  • [Remarks] KAWAUCHI, Akio's Papers

    • URL

      http://www.sci.osaka-cu.ac.jp/~kawauchi/index.html

    • Related Report
      2015 Annual Research Report
  • [Remarks] 大阪市立大学数学研究所業績データ

    • URL

      http://www.sci.osaka-cu.ac.jp/math/OCAMI/gyouseki.html

    • Related Report
      2015 Annual Research Report
  • [Remarks] 河内明夫著作

    • URL

      http://www.sci.osaka-cu.ac.jp/~kawauchi/index.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] 大阪市立大学数学研究所ホームページ業績データ

    • URL

      http://www.sci.osaka-cu.ac.jp/math/OCAMI/gyouseki.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] 河内明夫著作

    • URL

      http://www.sci.osaka-cu.ac.jp/~kawauchi/index.html

    • Related Report
      2013 Annual Research Report
  • [Remarks] 大阪市立大学数学研究所ホームページ業績データ

    • URL

      http://www.sci.osaka-cu.ac.jp/math/OCAMI/data/data_researcher2013.pdf

    • Related Report
      2013 Annual Research Report
  • [Remarks] 河内明夫著作

    • URL

      http://www.sci.osaka-cu.ac.jp/~kawauchi/index.html

    • Related Report
      2012 Annual Research Report
  • [Patent(Industrial Property Rights)] 結び目理論を応用した量子スイッチシステム2012

    • 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 Rights Type
      特許
    • Industrial Property Number
      2012-094282
    • Filing Date
      2012-04-17
    • Related Report
      2012 Annual Research Report
  • [Funded Workshop] The 12th East Asian School of Knots and Related Topics2017

    • Place of Presentation
      東京大学大学院数理科学研究科(東京都目黒区)
    • Year and Date
      2017-02-13
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] KOOK-TAPU Workshop of Knots in Tsushima Island2016

    • Place of Presentation
      対馬市交流センター(長崎県対馬市)
    • Year and Date
      2016-09-06
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] The 8th KOOK-TAPU Joint Seminar on Knots and Related Topics2016

    • Place of Presentation
      Pusan National University(Pusan, Korea)
    • Year and Date
      2016-07-25
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] The 11th East Asian School of Knots and Related Topics2016

    • Place of Presentation
      大阪市立大学数学研究所(大阪府大阪市)
    • Year and Date
      2016-01-26
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] The 7th KOOK-TAPU Joint Seminar on Knots and Related Topics2015

    • Place of Presentation
      大阪市立大学数学研究所(大阪府大阪市)
    • Year and Date
      2015-07-26
    • Related Report
      2015 Annual Research Report

URL: 

Published: 2013-05-15   Modified: 2019-07-29  

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