NAGASATO FUMIKAZU 長郷文和

… 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

NAGASATO FUMIKAZU 長郷 文和

長郷 文和 ナガサト フミカズ

Fumikazu Nagasato 長郷 文和

NAGASATO Fumikazu 長郷 文和

Research Projects

Research Products

Analyzing the topological properties of the knot contact homology by use of the ghost characters of knotsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Representation theoretical analysis of the knot contact homologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on representation theoretic structures of unknot detectorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on knot invariants detecting the unknotPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On minimality of two-bridge knots2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] SOME FAMILIES OF MINIMAL ELEMENTS FOR A PARTIAL ORDERING ON PRIME KNOTS2016

Author(s)

Journal Title

NAID

Data Source

[Journal Article] On minimal elements for a partial order of prime knots2012

Author(s)

Journal Title

Data Source

[Journal Article] On the geometry of the slice of trace-free SL(2,C)-characters of a knot group2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] YoshikazuYamaguchi,On the geometry of the slice of trace-free SL(2,C)-characters of a knot group2012

Author(s)

Journal Title

Data Source

[Journal Article] On the character rings of twist knots2011

Author(s)

Journal Title

Data Source

[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)

Journal Title

Data Source

[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)

Journal Title

Data Source

[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)

Journal Title

Data Source

[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)

Journal Title

Data Source

[Journal Article] 位相幾何学と結び目理論について2009

Author(s)

Journal Title

NAID

Data Source

[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)

NAGASATO FUMIKAZU 長郷文和

長郷文和ナガサトフミカズ

Fumikazu Nagasato 長郷文和

NAGASATO Fumikazu 長郷文和