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2011 Fiscal Year Final Research Report

Study on local moves of knots with application to DNA knots

Research Project

  • PDF
Project/Area Number 21540092
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

KANENOBU Taizo  大阪市立大学, 大学院・理学研究科, 教授 (00152819)

Co-Investigator(Kenkyū-buntansha) KAWAUCHI Akio  大阪市立大学, 大学院・理学研究科, 教授 (00112524)
MORIUCHI Hiromasa  大阪市立大学, 大学院・理学研究科, 特任准教授 (20453128)
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) MIYAZAWA Yasuyuki  山口大学, 大学院・理工学研究科, 教授 (60263761)
Project Period (FY) 2009 – 2011
Keywords結び目 / 絡み目 / バンド手術 / DNA部位特異組み換え
Research Abstract

We studied several local moves on knots and links such as an H(2)-move, band surgery, and SH(3)-move. In particular, we gave several methods to estimate the Gordian distances between two knots. Then, using some relationships of the Jones and Q polynomials

  • Research Products

    (15 results)

All 2012 2011 2010 2009

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (5 results)

  • [Journal Article] Band surgery on knots and links, II2012

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Journal Knot Theory and Its Ramifications

      Volume: Vol.21, No.9

    • DOI

      DOI:10.1142/50218216512500861

    • Peer Reviewed
  • [Journal Article] Finite type invariants of order 3 for a spatial handcuff graph2012

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

      Topology AppL

      Volume: Vol. 159, Issue 4 Pages: 966-979

    • DOI

      DOI:10.1016/i.toPolo.2011.ll.0l6

    • Peer Reviewed
  • [Journal Article] H(2)-Gordian distance of knots2011

    • Author(s)
      (3)Kanenobu, Taizo
    • Journal Title

      Journal Knot Theory and Its Ramifications

      Volume: Vo1.20, No.6 Pages: 813-835

    • DOI

      DOI:10.1142/50218216511008991

    • Peer Reviewed
  • [Journal Article] Upper bound for the alternation number of a torus knot2010

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Topology AppL

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

    • DOI

      DOI:10.1016/j.topol.2009.04.025

    • Peer Reviewed
  • [Journal Article] Band surgery on knots and links2010

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Journal Knot Theory and Its Ramifications

      Volume: Vo1.19, No.12 Pages: 1535-1547

    • DOI

      DOI:10.1142/50218216510008522

    • Peer Reviewed
  • [Journal Article] Enumerating 3-manifolds with lengths up to g by a canonical order2010

    • Author(s)
      Kawauchi, Akio and Tayama lkuo
    • Journal Title

      Topology App1.

      Volume: Vo1.157, No.1 Pages: 261-268

    • DOI

      DOI:10.1016/j.topol.2009.04.028

    • Peer Reviewed
  • [Journal Article] Sharp‐unknotting number of a torus knot2009

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Kyungpook Math. J.

      Volume: 49 Pages: 583-594

    • Peer Reviewed
  • [Journal Article] H(2)‐unknotting number of a knot2009

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

      Communications in Mathematical Research

      Volume: Vo1.25, no.5 Pages: 433-460

    • Peer Reviewed
  • [Journal Article] The bLock numbers of 2‐bridge knotsand links2009

    • Author(s)
      Kanenobu, Taizo
    • Journal Title

      Kobe J. Math.

      Volume: VoL 26, No.1-2 Pages: 1-15

    • Peer Reviewed
  • [Journal Article] A table of B-curves and handcuff graphs with up to seven crossings2009

    • Author(s)
      Moriuchi, Hiromasa
    • Journal Title

      Noncommutativity and singularities

      Volume: 55 Pages: 281-290

    • Peer Reviewed
  • [Presentation] Band surgery on knots with applications to other local moves2012

    • Author(s)
      金信泰造
    • Organizer
      ア メリカ数学会2012年春季特別会議
    • Place of Presentation
      アメリカ合衆国ハワイ大学
    • Year and Date
      2012-03-04
  • [Presentation] Ribbon torus knots presented by virtual knots with up to 4 crossings2011

    • Author(s)
      金信泰造
    • Organizer
      The 19th TAPU Seminar on Knots and Related Topics
    • Place of Presentation
      韓 国釜山Seacloud Hotel
    • Year and Date
      2011-09-14
  • [Presentation] Band surgery on on 2-component links2011

    • Author(s)
      金信泰造
    • Organizer
      第3回KOOK-TAPU合 同Seminar
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2011-07-25
  • [Presentation] Finite type invariants for a spatial handcuff graph2010

    • Author(s)
      金信泰造
    • Organizer
      第5回日本・ メキシコトポロジー国際会議
    • Place of Presentation
      メキシココリマ大学
    • Year and Date
      2010-09-30
  • [Presentation] H(2)-Gordian Distance of Knots,結び目・絡み目に関する2010

    • Author(s)
      金信泰造
    • Organizer
      第6回東 アジアスクール
    • Place of Presentation
      中 国南開大学陳省身数学研究所.
    • Year and Date
      2010-01-26

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Published: 2014-08-29  

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