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NAGASATO FUMIKAZU  長郷 文和

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… Alternative Names

長郷 文和  ナガサト フミカズ

Fumikazu Nagasato  長郷 文和

NAGASATO Fumikazu  長郷 文和

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Researcher Number 30513634
Other IDs
Affiliation (Current) 2025: 名城大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help 2020 – 2023: 名城大学, 理工学部, 教授
2014 – 2017: 名城大学, 理工学部, 准教授
2011 – 2012: 名城大学, 理工学部, 准教授
2008 – 2010: Meijo University, 理工学部, 助教
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related
Keywords
Principal Investigator
結び目群 / 結び目 / 指標多様体 / character variety / ノットコンタクトホモロジー / 2重分岐被覆 / knot contact homology / partial order / SL_2(C)表現 / Chebyshev多項式 … More / 理想点 / 二重分岐被覆 / トレースフリー指標多様体 / 半順序 / トレースフリー断面 / minimal element / ghost character / 幽霊指標 / 2重分岐被覆 / コンタクトホモロジー / トレースフリー表現 / 基本群 / Chebyshev polynomial / 指標代数多様体 / SL(2,C)表現 / trace-free表現 / trace-free 表現 / Chebyshev 多項式 / 2橋結び目 / Casson-Lin不変量 / Khovanov homology / メタベリアン表現 / Character variety / SL_2(C)-表現 / chebyshev polynomial / metabelian representation Less
  • Research Projects

    (4 results)
  • Research Products

    (45 results)
  •  Analyzing the topological properties of the knot contact homology by use of the ghost characters of knotsPrincipal Investigator

    • Principal Investigator
      長郷 文和
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Meijo University
  •  Representation theoretical analysis of the knot contact homologyPrincipal Investigator

    • Principal Investigator
      Fumikazu Nagasato
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Meijo University
  •  Research on representation theoretic structures of unknot detectorsPrincipal Investigator

    • Principal Investigator
      NAGASATO Fumikazu
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Meijo University
  •  Study on knot invariants detecting the unknotPrincipal Investigator

    • Principal Investigator
      NAGASATO Fumikazu
    • Project Period (FY)
      2008 – 2009
    • Research Category
      Grant-in-Aid for Young Scientists (Start-up)
    • Research Field
      Geometry
    • Research Institution
      Meijo University

All 2023 2017 2016 2012 2011 2010 2009 2008 Other

All Journal Article Presentation

  • [Journal Article] On minimality of two-bridge knots2017

    • Author(s)
      Fumikazu Nagasato, Masaaki Suzuki and Anh T. Tran
    • Journal Title

      International Journal of Mathematics

      Volume: 28 Issue: 03 Pages: 1750020-1750020

    • DOI

      10.1142/s0129167x17500203

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Journal Article] SOME FAMILIES OF MINIMAL ELEMENTS FOR A PARTIAL ORDERING ON PRIME KNOTS2016

    • Author(s)
      FUMIKAZU NAGASATO AND ANH T. TRAN
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 53

    • NAID

      120005986264

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Journal Article] On minimal elements for a partial order of prime knots2012

    • Author(s)
      Fumikazu Nagasato
    • Journal Title

      Topology and its Applications

      Volume: Vol.159 Pages: 1059-1063

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Journal Article] On the geometry of the slice of trace-free SL(2,C)-characters of a knot group2012

    • Author(s)
      F.Nagasato, Y.Yamaguchi
    • Journal Title

      Mathematische Annalen

      Volume: (印刷中) Issue: 3 Pages: 967-1002

    • DOI

      10.1007/s00208-011-0754-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-10J07961, KAKENHI-PROJECT-22740048
  • [Journal Article] YoshikazuYamaguchi,On the geometry of the slice of trace-free SL(2,C)-characters of a knot group2012

    • Author(s)
      Fumikazu Nagasato
    • Journal Title

      Mathematische Annalen

      Volume: Vol.354 Pages: 967-1002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Journal Article] On the character rings of twist knots2011

    • Author(s)
      Fumikazu Nagasato
    • Journal Title

      Bulletin of the Korean Mathematical Society

      Volume: Vol.48 No.3 Pages: 469-474

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Journal Article] On a behavior of a slice of the SL_2(C)-character variety of a knot group under the connected sum2010

    • Author(s)
      Fumikazu Nagasato
    • Journal Title

      Topology and its Applications 157

      Pages: 182-187

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Journal Article] On a behavior of a slice of the SL_2(C)-character variety of a knot group under the connected sum2010

    • Author(s)
      Fumikazu Nagasato
    • Journal Title

      Topology and its Applications Vol.157

      Pages: 182-187

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Journal Article] 指標代数多様体の断面の既約成分数について2009

    • Author(s)
      長郷文和
    • Journal Title

      研究集会『結び目の数学』報告集

      Pages: 22-28

    • Data Source
      KAKENHI-PROJECT-20840038
  • [Journal Article] 位相幾何学と結び目理論についてOn Low-dimensional Toplolgy and Knot Theory2009

    • Author(s)
      長郷 文和
    • Journal Title

      名城大学理工学部研究報告Research reports of the faculty of science and technology, Meijo University 49

      Pages: 13-19

    • Data Source
      KAKENHI-PROJECT-20840038
  • [Journal Article] 位相幾何学と結び目理論について2009

    • Author(s)
      長郷文和
    • Journal Title

      名城大学理工学部研究報告 Vol.49

      Pages: 13-19

    • NAID

      40019824350

    • Data Source
      KAKENHI-PROJECT-20840038
  • [Journal Article] 指標代数多様体の断面の既約成分数について2009

    • Author(s)
      長郷 文和
    • Journal Title

      研究集会『結び目の数学』報告集

      Pages: 22-28

    • Data Source
      KAKENHI-PROJECT-20840038
  • [Journal Article] Background of the existence of multi-variable link invariants2008

    • Author(s)
      Fumikazu Nagasato, Kanau Hamai
    • Journal Title

      Kyungpook Mathematical Journal Vol.48

      Pages: 233-240

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Journal Article] On the trace-free characters

    • Author(s)
      Fumikazu Nagasato
    • Journal Title

      RIMS Kokyuroku

    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] The structure of the trace-free (traceless) SL2(C)-character varieties of the knot groups2023

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      微分トポロジー’23
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03619
  • [Presentation] On knots sharing the same abelian knot contact homology2023

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      東北結び目セミナー2023
    • Data Source
      KAKENHI-PROJECT-20K03619
  • [Presentation] Trace-free characters and abelian knot contact homology (On Ng's conjecture from ghost characters of a knot)2017

    • Author(s)
      Fumikazu Nagasato and Shinnosuke Suzuki
    • Organizer
      the 2nd Pan-Pacific International Conference on Topology and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] Π1(∑2K)固有のSL(2,C)-表現とNg予想の反例について2017

    • Author(s)
      長郷 文和,鈴木 心之助
    • Organizer
      第8回東名古屋数学若手研究集会
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] Ghost characters, character varieties and abelian knot contact homology2017

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      The 12th East Asian School of Knots and Related Topics
    • Place of Presentation
      東京大学,東京
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] On ghost characters of knot groups2016

    • Author(s)
      長郷 文和
    • Organizer
      2016琉球結び目セミナー
    • Place of Presentation
      那覇市伝統工芸館
    • Year and Date
      2016-02-20
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] Ghost characters, character varieties and abelian knot contact homology2016

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      KOOK-TAPU Workshop of Knots in Tsushima Island
    • Place of Presentation
      対馬市交流センター (TIARA),長崎県対馬市
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] Ghost characters, character varieties and abelian knot contact homology2016

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      Fundamental Groups, Representations and Geometric Structures in 3-Manifold Topology
    • Place of Presentation
      広島大学,広島
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] 幽霊指標,指標多様体と可換ノットコンタクトホモロジー2016

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      トポロジーとコンピュータ 2016
    • Place of Presentation
      カレッジプラザ,秋田
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] On minimal elements for a partial order of prime knots2012

    • Author(s)
      長郷文和
    • Organizer
      九州大学トポロジーセミナー
    • Place of Presentation
      九州大学(招待講演)
    • Year and Date
      2012-02-23
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On the space of colorings of a knot2012

    • Author(s)
      長郷文和
    • Organizer
      研究会「2012 琉球結び目セミナー」
    • Place of Presentation
      那覇市伝統工芸館
    • Year and Date
      2012-09-03
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On trace-free characters and abelian knot contact homolog2012

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      RIMS Seminar『Representation spaces, twisted topological invariants andgeometric structures of 3-manifolds』
    • Place of Presentation
      GoraSeiunso
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On minimal elements for a partial order of prime knots2012

    • Author(s)
      長郷文和
    • Organizer
      九州大学トポロジーセミナー
    • Place of Presentation
      九州大学
    • Year and Date
      2012-02-23
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On the trace-free characters of knot groups2012

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      UCSB Topology Seminar, University ofCalifornia
    • Place of Presentation
      Santa Barbara
    • Year and Date
      2012-10-31
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On metabelian representations and their applications2011

    • Author(s)
      長郷文和
    • Organizer
      研究会「2011琉球結び目セミナー」
    • Place of Presentation
      那覇市伝統工芸館
    • Year and Date
      2011-09-07
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On metabelian representations and their applications2011

    • Author(s)
      長郷文和
    • Organizer
      研究会「2011 琉球結び目セミナー」
    • Place of Presentation
      那覇市伝統工芸館
    • Year and Date
      2011-09-07
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On minimal elements for a partial order of prime knots2010

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      International Conference Japan-Mexico on Topology and its Applications
    • Place of Presentation
      Universidad de Colima, Mexico
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On a topological aspect of the Chebyshev polynomials and the character varieties2010

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      国際研究集会『The sixth East Asian School of Knots and Related topics』
    • Place of Presentation
      Chern Institute of Mathematics, China
    • Year and Date
      2010-01-27
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] On the number of irreducible components of a sliceof the character variety2009

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      国際研究集会『Knots in Washington XXVII』
    • Place of Presentation
      George Washington University, USA
    • Year and Date
      2009-01-11
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] A slice of the character variety, knot contact homology and Khovanov homology of 2-bridge knots2009

    • Author(s)
      長郷文和, 田中心
    • Organizer
      研究集会『Winter Workshop 2009 on Low-Dimensional Topology and its Ramifications』
    • Place of Presentation
      名城大学
    • Year and Date
      2009-03-06
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] On the number of irreducible components of a slice of the character variety2009

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      国際研究集会『Knots in Washington XXVII』
    • Place of Presentation
      George Washington University, USA
    • Year and Date
      2009-01-11
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] A slice of the character variety, knot contact homologyand Khovanov homology of 2-bridge knots2009

    • Author(s)
      長郷 文和田中 心
    • Organizer
      Winter Workshop2009on Low-Dimensional Toplogy and its Ramifications
    • Place of Presentation
      名城大学
    • Year and Date
      2009-03-06
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] On the geometry of a certain slice of the character variety of a knot group2008

    • Author(s)
      長郷文和, 山口祥司
    • Organizer
      日本数学科2008年度秋季総合分科会トポロジー分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-25
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] 指標代数多様体の断面の既約成分数について2008

    • Author(s)
      長郷文和
    • Organizer
      研究集会『結び目の数学』
    • Place of Presentation
      東京女子大学
    • Year and Date
      2008-12-23
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] On the geometry of a certaion slice of the charactervariety of a knot group2008

    • Author(s)
      長郷 文和山口 祥司
    • Organizer
      日本数学科2008年度秋季総合分科会トポロジー分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-25
    • Data Source
      KAKENHI-PROJECT-20840038
  • [Presentation] On the space of colorings of a knot

    • Author(s)
      長郷 文和
    • Organizer
      研究会「2012 琉球結び目セミナー」
    • Place of Presentation
      那覇市伝統工芸館
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On trace-free characters and abelian knot contact homology

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      RIMS Seminar 「Representation spaces, twisted topological invariants and geometric structures of 3-manifolds」
    • Place of Presentation
      Gora Seiunso, Hakone, Japan
    • Invited
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On the trace-free characters of knot groups

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      UCSB Topology Seminar
    • Place of Presentation
      University of California, Santa Barbara, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-22740048
  • [Presentation] On "SL(2,C)-ghost characters'' of knots

    • Author(s)
      長郷 文和
    • Organizer
      2014 琉球結び目セミナー
    • Place of Presentation
      那覇市伝統工芸館
    • Year and Date
      2014-06-21 – 2014-06-22
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] On some families of minimal elements for the partial ordering on prime knots

    • Author(s)
      長郷 文和
    • Organizer
      東北結び目セミナー 2014
    • Place of Presentation
      カレッジプラザ
    • Year and Date
      2014-10-17 – 2014-10-19
    • Data Source
      KAKENHI-PROJECT-26800046
  • [Presentation] On some families of minimal elements for the partial ordering on prime knots

    • Author(s)
      Fumikazu Nagasato
    • Organizer
      The Tenth East Asian School of Knots and Related Topics
    • Place of Presentation
      East China Normal University
    • Year and Date
      2015-01-26 – 2015-01-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800046

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