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Study on the homogeneity of knot space

Research Project

Project/Area Number 19540081
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionKobe University

Principal Investigator

NAKANISHI Yasutaka  Kobe University, 大学院・理学研究科, 教授 (70183514)

Co-Investigator(Kenkyū-buntansha) 大山 淑之  東京女子大学, 文理学部, 教授 (80223981)
内田 吉昭  山形大学, 理学部, 准教授 (80280890)
Co-Investigator(Renkei-kenkyūsha) OHYAMA Yoshiyuki  東京女子大学, 文理学部, 教授 (80223981)
UCHIDA Yoshiaki  神戸薬科大学, 薬学部, 教授 (80280890)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2007: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords結び目理論 / 結び目不変量 / 局所変形 / 結び目空間 / 均質性
Research Abstract

結び目の構造と不変量を局所変形を通じて明らかにしL その発展としてL 結び目空間の均質性を究明することを目的としL 新しい局所変形としてnon self △ move 提唱しL 対応する構造を決定した。またpass moveによる結び目空間の構造の均質性についてConway多項式の観点から研究した。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (12 results)

All 2009 2008 2007 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (7 results) Book (1 results)

  • [Journal Article] The Gordian complex with pass moves is not hornogeneous with respect to Conway polynomials2009

    • Author(s)
      Y. Nakanishi and Y. Ohyama
    • Journal Title

      Hiroshima Mathematical Journal 39(to appear)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Gordian complex with pass moves is not homogeneous with respect to Conway polynomials2009

    • Author(s)
      Y. Nakanishi, Y. Ohyama
    • Journal Title

      Hiroshima Mathematical Journal (to appear) 39

    • NAID

      110007332930

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local moves and Gordian complexes, II2007

    • Author(s)
      Y. Nakanishi
    • Journal Title

      Kyungpook Mathematical Journal 47

      Pages: 329-334

    • Related Report
      2008 Final Research Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Free self delta-triviality of delta-split links

    • Author(s)
      Y. Nakanishi, et al
    • Journal Title

      Journal of Knot Theory and Its Ramifications (to appenr)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] On non self Delta moves, The 5th East Asian School of Knots and Related Topics2009

    • Author(s)
      Y. Nakanishi, Tetuo Shibuya, and Tatsuya Tsukamoto
    • Organizer
      Gyeongju TEMF Hotel, Gyeongju
    • Place of Presentation
      Korea
    • Related Report
      2008 Final Research Report
  • [Presentation] On non self Delta moves2009

    • Author(s)
      Y. Nakanishi
    • Organizer
      The 5th East Asian School of Knotsand Related Topics
    • Place of Presentation
      慶州数行文化介館, 大韓民国
    • Related Report
      2008 Annual Research Report
  • [Presentation] Link homology keeping knot types, Intelligence of Low Dimensional Topal ogy 2008 and the Extended KOOK Seminar2008

    • Author(s)
      Y. Nakanishi
    • Organizer
      Media Center building of Osaka City University
    • Place of Presentation
      Osaka, Japan
    • Related Report
      2008 Final Research Report
  • [Presentation] Local moves and Gordian corn plexes, III2008

    • Author(s)
      中西康剛
    • Organizer
      日本数学会トポロジー分科会
    • Place of Presentation
      東京工業大学
    • Related Report
      2008 Final Research Report
  • [Presentation] Local moves and Gordian complexes, III, The 6th TAPU Workshop on Knots and Related Topics2008

    • Author(s)
      Nakanishi and Y. Ohyama
    • Organizer
      Pusan National University
    • Place of Presentation
      Busan, Korea
    • Related Report
      2008 Final Research Report
  • [Presentation] Local moves and Gordian complexes, Knotting Mathematics and Art: Conference in Low Dimensional Topology and Mathematics Art2007

    • Author(s)
      Y. Nakanishi
    • Organizer
      University of South Florida, Tampam Florida
    • Place of Presentation
      nited States of America
    • Related Report
      2008 Final Research Report
  • [Presentation] Local moves and Gordian complexes2007

    • Author(s)
      Y. Nakanishi
    • Organizer
      Knotting Mathematics and Art
    • Place of Presentation
      University of South Florida
    • Related Report
      2007 Annual Research Report
  • [Book] Proc. Intelligence of Low Dimensional Topology 兼拡大 KOOK セミナー(Intelligence of Low Dimensional Topology 2008 and the Extended KOOK Seminar)2008

    • Author(s)
      Y. Nakanishi
    • Publisher
      Link homology keeping knot types
    • Related Report
      2008 Final Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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