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

study of knots with strong triviality

Research Project

Project/Area Number 22740052
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Geometry
Research InstitutionUniversity of Occupational and Environmental Health, Japan

Principal Investigator

TORISU Ichiro  産業医科大学, 医学部, 准教授 (50323134)

Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords結び目 / 絡み目 / 隣接性 / 強自明性 / 2橋結び目 / モンテシノス結び目 / ザイフェルト多様体 / N-隣接性 / 2橋結び目 / デーン手術 / レンズ空間
Research Abstract

I studied adjacency relation and strong triviality for knots or links. I got many results by using both geomatrical and algebraic arguments. Especially, I extend known results of 2-bridge knots, Montesinos knot, and torus knots. By 3-manifold theory (for example, branched covering), I found the roll of study of adjacency and strong triviality in 3-dimensional topology.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (4 results)

All 2012

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

  • [Journal Article] 3-adjacency relation of two-bridge knots and links2012

    • Author(s)
      I. Torisu
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: vol.21, no.6 Pages: 1250051-7

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 3-adjacency relation of two-bridge knots and links2012

    • Author(s)
      I.Torisu
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 21 Issue: 06 Pages: 1250051-1250051

    • DOI

      10.1142/s0218216511010036

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] 結び目のnugatory crossing problem とn-adjacency について2012

    • Author(s)
      鳥巣 伊知郎
    • Organizer
      集中講義
    • Place of Presentation
      埼玉大学
    • Related Report
      2013 Final Research Report
  • [Presentation] 結び目の nugatory crossing problem と n-adjacency について2012

    • Author(s)
      鳥巣伊知郎
    • Organizer
      集中講義 埼玉大学
    • Place of Presentation
      埼玉
    • Related Report
      2012 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi