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2008 Fiscal Year Final Research Report

Study on the homogeneity of knot space

Research Project

  • PDF
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(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
Keywords結び目理論 / 結び目不変量 / 局所変形
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。

  • Research Products

    (8 results)

All 2009 2008 2007

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (5 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)

    • Peer Reviewed
  • [Journal Article] Local moves and Gordian complexes, II2007

    • Author(s)
      Y. Nakanishi
    • Journal Title

      Kyungpook Mathematical Journal 47

      Pages: 329-334

    • 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
    • Year and Date
      20090111-16
  • [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
    • Year and Date
      20081006-08
  • [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
    • Year and Date
      20080924-27
  • [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
    • Year and Date
      20080728-30
  • [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
    • Year and Date
      20071101-04
  • [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
    • Total Pages
      185-188
    • Publisher
      Link homology keeping knot types

URL: 

Published: 2010-06-10   Modified: 2016-04-21  

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