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On epimorphisms between knot groups non-preserving meridians

Research Project

Project/Area Number 24740035
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Geometry
Research InstitutionMeiji University (2013-2014)
Akita University (2012)

Principal Investigator

SUZUKI Masaaki  明治大学, 総合数理学部, 准教授 (70431616)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords結び目群 / メリディアン / 結び目群間の全射準同型 / 全射準同型
Outline of Final Research Achievements

In this research, we construct infinitely many examples of prime knots which admit non-meridional epimorphisms onto the trefoil knot. Moreover these knots never admit meridional epimorphisms onto the trefoil knot. This statement holds for the figure eight knot too.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (9 results)

All 2015 2014 2013 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 3 results) Presentation (3 results) (of which Invited: 3 results)

  • [Journal Article] Integral Euler characteristic of out F_{11}2015

    • Author(s)
      S. Morita, T. Sakasai and M. Suzuki
    • Journal Title

      Experimental Math.

      Volume: 24 Issue: 1 Pages: 93-97

    • DOI

      10.1080/10586458.2014.956373

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Meridional and non-meridional epimorphisms between knot groups2015

    • Author(s)
      Masaaki Suzuki
    • Journal Title

      Handbook of group actions

      Volume: 31 Pages: 577-602

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Monodromy maps of fibered 2-bridge knots as elements in automorphism of free groups2015

    • Author(s)
      Hiroshi Goda and Masaaki Suzuki
    • Journal Title

      Kyungpook Mathematical Journal

      Volume: 0 Pages: 0-0

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Computations in formal symplectic geometry and characteristic classes of muduli spaces2015

    • Author(s)
      Shigeyuki Morita, Takuya Sakasai and Masaaki Suzuki
    • Journal Title

      Quantum Topology

      Volume: 0 Pages: 0-0

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra2013

    • Author(s)
      Shigeyuki Morita, Takuya Sakasai and Masaaki Suzuki
    • Journal Title

      Duke Mathematical Journal

      Volume: 162 Issue: 5 Pages: 965-1002

    • DOI

      10.1215/00127094-2140560

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A note on degrees of twisted Alexander polynomials II2013

    • Author(s)
      Takayuki Morifuji and Masaaki Suzuki
    • Journal Title

      Bulletin of the Korean Mathematical Society

      Volume: 50 Issue: 3 Pages: 929-934

    • DOI

      10.4134/bkms.2013.50.3.929

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Meridional and non-meridional epimorphisms between knot groups2014

    • Author(s)
      Masaaki Suzuki
    • Organizer
      Departmental Colloquia, Department of Mathematics and Statistics
    • Place of Presentation
      University of South Alabama, USA
    • Year and Date
      2014-10-30
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Meridional and non-meridional epimorphisms between knot groups

    • Author(s)
      Masaaki Suzuki
    • Organizer
      Group actions and applications in geometry, topology and analysis
    • Place of Presentation
      中国 昆明
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Meridional and non-meridional epimorphisms between knot groups

    • Author(s)
      Masaaki Suzuki
    • Organizer
      geometry seminar at Pisa
    • Place of Presentation
      イタリア ピサ
    • Related Report
      2012 Research-status Report
    • Invited

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Published: 2013-05-31   Modified: 2019-07-29  

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