Kitano Teruaki 北野晃朗

… Alternative Names

KITANO TERUAKI 北野晃朗

Less

Researcher Number	90272658
Other IDs
External Links
Affiliation (Current)	2025: 創価大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2015 – 2023: 創価大学, 理工学部, 教授 2013 – 2014: 創価大学, 工学部, 教授 2008 – 2011: Soka University, 工学部, 教授 2007: Soka University, 工学部, 准教授 2006: Soka University, Department of Information Systems Sciences, Associate Professor, 工学部, 助教授 … More 2005: 東京工業大学, 大学院情報理工学研究科, 助教授 2003 – 2005: 東京工業大学, 大学院・情報理工学研究科, 助教授 2002 – 2004: 東京工業大学, 大学院・理工学研究科, 助教授 1999 – 2001: 東京工業大学, 大学院・理工学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry
Keywords	Principal Investigator 基本群 / 結び目 / 3次元多様体 / Reidemeister torsion / 結び目群 / 全射準同型写像 / 線型表現 / ねじれAlexander不変量 / 指標多様体 / Brieskorn manifold … More / figure-eight knot / homology 3-sphere / homology sphere / SL(2;C)-representation / fundamental group / linear representation / ねじれAlexander多項式 / 半順序関係 / トポロジー / Twisted Alexander多項式 / 双曲的多様体 / L2-トーション / 曲面束 / サテライト結び目 / 双曲構造 / 指標 / SL(2;C) / 代数的整数 / SL(2;C)-表現 / twisted Alexander 多項式 / pi-orbifold群 / 結び目の種数 / 結び目の対称和 / 幾何学 / epimorphism / SL(2,C) / トーラス絡み目 / splice / homology 3球面 / 自由積 / 副有限完備化 / トーラス結び目 / Chebychev polynomial / Dehn surgery / Reidemeister torison / torus knot / Brieskorm manifold / minimal polynomial / degree / Casson不変量 / 写像度 / metabelian表現 / 非可換表現 / 有限素体 / 全射 / degree 1 map / twisted Alexander多項式 / ねじれアレキサンダー多項式 / ライデマイスタートーション / L2-torsion / ファイバー結び目 / 降中心化列 / 冪零商 / L^2-トーション / 写像類群 … More Except Principal Investigator 3次元多様体 / ゲージ理論 / Conformal field theory / Witten invariant / 3-dimensional manfold / Gauge theory / 量子不変量 / 共形場理論 / Alexander多項式 / 体積 / Reidemeister torsion / 結び目 / タイヒミュラー空間 / Witten不変量 / 微分同相群 / 位相不変量 / シンプレクティック微分 / モジュライ空間 / リーマン面 / 写像類群 / アレキサンダー多項式 / ねじれアレキサンダー多項式 / Morita-Mumford class / hyperbolic group / Teichmuller space / diffeomorphism group / Floer homotopy type / moduli space / Riemann surface / mapping class group / 等長変換 / トーション / アノソフ流 / Magnus展開 / 幾何学的群論 / 双曲幾何学 / サイバーグ・ウィッテン理論 / Teichmuller空間 / 写像群類 / 森田-マンフォード類 / 双曲群 / Floerホモトピー型 / ベクトル束のモジュライ空間 / WZWモデル / Chern-Simons invariant / quantum invariant / volume conjecture / colored Jones polynomial / 3-mainfold / knot / Dehn手術 / 8の字結び目 / トーラス結び目 / Jones多項式 / torus結び目 / Chern-Simons不変量 / 体積予想 / 色付きJones多項式 / 位相的場の理論 / ケージ理論 / ウィッテン不変量 / 結び目理論 / 双曲多様体 / Morita-Mumford類 / 実解析的微分同相群 / 有限型不変量 / 葉層構造 / Hamiltonベクトル場 / ループ空間 / ホモロジー3球面 / ホモロジーシリンダー / 量子化予想 / 局所化 / 絶対ガロア群 / Gel'fand-Kalinin-Fuks理論 / 葉層構造の特性類 / 自由群 / 4次元多様体 / シンプレクティック幾何学 / グラフ Less

3次元多様体の基本群の指標多様体と位相的構造との関連についてPrincipal Investigator
- Principal Investigator
  
  北野晃朗
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Soka University
Reidemeister torsionに関するJohnson理論の深化Principal Investigator
- Principal Investigator
  
  北野晃朗
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Soka University
Torsion invariants for hyperbolic manifolds
- Principal Investigator
  
  Goda Hiroshi
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Agriculture and Technology
Pro-finite completion of a 3-manifold group and its relation to topological invariantsPrincipal Investigator
- Principal Investigator
  
  Kitano Teruaki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Soka University
Studies on partial orders on sets of 3-manifolds defined by epimorphisms between fundamental groups.Principal Investigator
- Principal Investigator
  
  KITANO Teruaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Soka University
Geometry of Groups and Moduli Spaces (2)
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  KITANO TERUAKI
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Soka University
  Tokyo Institute of Technology
Geometry of Groups and Moduli Spaces
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  UNIVERSITY OF TOKYO
Various inbariants appearing in low-dimensional topology
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technorogy
Conformal Field Theory and Witten Invariant
- Principal Investigator
  
  YOSHIDA Tomoyoshi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
円周上の曲面束の構造を許容する3次元双曲的多様体の位相不変量に関する研究Principal Investigator
- Principal Investigator
  
  北野晃朗
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Gauge Theory and 3-Dimensional Manifolds
- Principal Investigator
  
  YOSHIDA Tomoyoshi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
種類2以上の曲面の写像類群と円周上の曲面束の不変量に関する研究Principal Investigator
- Principal Investigator
  
  北野晃朗
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Gauge Theory and 3-Dimensional Manifolds
- Principal Investigator
  
  YOSHIDA Tomoyoshi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology

[Book] ねじれAlexander不変量(数学メモアール第5巻)2006
- Author(s)
  北野晃朗, 合田洋, 森藤孝之
- Total Pages
  183
- Publisher
  日本数学会
- Data Source
  KAKENHI-PROJECT-16204005
[Book] ねじれAlexander不変量2006
- Author(s)
  北野晃朗, 合田洋, 森藤孝之
- Total Pages
  183
- Publisher
  日本数学会
- Data Source
  KAKENHI-PROJECT-17540064
[Book] わじれAlexander不変量(数学メモクール第5巻)2006
- Author(s)
  北野晃朗, 合田洋, 森藤孝之
- Total Pages
  183
- Publisher
  日本数学会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16204005
[Book] ねじれAlexander不変量2006
- Author(s)
  北野晃朗, 合田洋, 森藤孝之
- Total Pages
  183
- Publisher
  日本数学会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] An algebraic property of Reidemeister torsion2022
- Author(s)
  Teruaki Kitano, Yuta Nozaki
- Journal Title
  
  Transactions of the London Mathematical Society
  
  Volume: 9 Issue: 1 Pages: 136-157
- DOI
  10.1112/tlm3.12049
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03505, KAKENHI-PROJECT-20K14317
[Journal Article] Reidemeister torsion of a 3-manifold obtained by an integral Dehn-surgery along the figure-eight knot2016
- Author(s)
  Teruaki Kitano
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 39 Pages: 290-296
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400101
[Journal Article] Introduction to twisted Alexander polynomials and related topics2016
- Author(s)
  Teruaki Kitano
- Journal Title
  
  Winter Braids Lecture Notes
  
  Volume: 2 Pages: 1-35
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400101
[Journal Article] On the number of SL(2 ; Z/pZ)-representations of knot groups2012
- Author(s)
  TERUAKI KITANO and MASAAKI SUZUKI
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: Volume 21, Issue 1 Issue: 01 Pages: 1250003-1250003
- DOI
  10.1142/s021821651100973x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540100
[Journal Article] A Partial order on the set of prime knots with up to 11 crossings2011
- Author(s)
  KEIICHI HORIE, TERUAKI KITANO, MINEKO MATSUMOTO and MASAAKI SUZUKI
- Journal Title
  
  J. Knot Theo. and its Rami
  
  Volume: Volume 20, Issue 2 Issue: 02 Pages: 275-303
- DOI
  10.1142/s0218216511008747
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540100
[Journal Article] A Partial order on the set of prime knots with up to 11 crossings2011
- Author(s)
  K.Horie, T.Kitano, M.Matsumoto, M.Suzuki
- Journal Title
  
  J.Knot Theo.and its Rami.
  
  Volume: 20 Pages: 275-303
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540100
[Journal Article] A partial order in the Knot Table II2008
- Author(s)
  Teruaki, Kitano, Masaaki, Suzuki
- Journal Title
  
  Acta Mathematica Sinica 24
  
  Pages: 1801-181
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204003
[Journal Article] A Partial Order in the Knot Table II2008
- Author(s)
  Teruaki KITANO, Masaaki SUZUKI
- Journal Title
  
  Acta Mathematica Sinica 24
  
  Pages: 1801-1816
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Twisted Alexander polynomials and a partial order on the set of prime knots, Geometry and Topology Monographs 132008
- Author(s)
  Teruaki KITANO and Masaaki SUZUKI
- Journal Title
  
  Groups, Homotopy and Configuration Spaces (Tookyo 2005)
  
  Pages: 307-322
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] L^2-torsion invariants and the Magnus representation of the mapping class group2008
- Author(s)
  Teruaki KITANO, Takayuki MORIFUTI
- Journal Title
  
  Groups of Diffeomorphisms, Advanced Studies in Pure Mathematics 52
  
  Pages: 31-50
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] A Partial Order in the Knot Table II2008
- Author(s)
  Teruaki KITANO and Masaaki SUZUKI
- Journal Title
  
  Acta Mathematica Sinica 24
  
  Pages: 1801-1816
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] L^2-torsion invariants and the Magnus representation of the mapping class group, Groups of Diffeomorphisms2008
- Author(s)
  Teruaki KITANO and Takayuki MORIFUJI
- Journal Title
  
  Advanced Studies in Pure Mathematics Volume(Math. Soc. of Japan) 52
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Twisted Alexander polynomials and a partial order on the setof prime knots2007
- Author(s)
  Teruaki Kitano and Masaaki Suzuki
- Journal Title
  
  Geometry & Topology Monographs 13
  
  Pages: 307-321
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] On the existence of a surjective homomorohism between knot groups2006
- Author(s)
  Teruaki KITANO and Masaaki SUZUKI
- Journal Title
  
  Intelligence of Low Dimensional Topology 2006. World Scientific
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Twisted Alexander polynomials and surjectivity of a group homomorphism, Algebr2005
- Author(s)
  Teruaki KITANO, Masaaki SUZUKI and Masaaki WADA
- Journal Title
  
  Geom. Topol 5
  
  Pages: 1315-1324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] A partial order in the knot table2005
- Author(s)
  T.Kitano, M.Suzuki
- Journal Title
  
  Experiment.Math. 14
  
  Pages: 385-390
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Reidemeister torsion, twisted Alexander Polynomial and fibered knots.2005
- Author(s)
  H.Goda, T.Kitano, T.Morifuji
- Journal Title
  
  Comment.Math.Helv. 80
  
  Pages: 51-61
- Data Source
  KAKENHI-PROJECT-14740037
[Journal Article] Twisted Alexander polynomials and surjectivity of a group homomorphism2005
- Author(s)
  Teruaki Kitano, Masaaki Suzuki, Masaaki Wada
- Journal Title
  
  Algebraic and Geometric Topology 5
  
  Pages: 1315-1324
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Divisibility of Twisted Alexander polynomials and fiberd knots.2005
- Author(s)
  T.Kitano, T.Morifuji
- Journal Title
  
  Ann.Scuola norm.sup.Pisa (未定)
- Data Source
  KAKENHI-PROJECT-14740037
[Journal Article] Twisted Alexander polynomials and surjectivity of a group homomorphism.2005
- Author(s)
  T.Kitano, M.Suzuki, M.Wada
- Journal Title
  
  Algebr.Geom.Topol. 5
  
  Pages: 1315-1324
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Reidemeister torsion, Twisted Alexander polynomial and fibered knots2005
- Author(s)
  H.Goda, T.Kitano, T.Morifuji
- Journal Title
  
  Comment.Math.Helv. 80
  
  Pages: 51-61
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] A partial order in the knot table, Exp2005
- Author(s)
  Teruaki KITANO and Masaaki SUZUKI
- Journal Title
  
  Math 14
  
  Pages: 385-390
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Divisibility of Twisted Alexander polynomials and fibered knots2005
- Author(s)
  T.Kitano, T.Morifuji
- Journal Title
  
  Annali della Classe di Scienze de Pisa (掲載予定)
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] A partial order in the knot table2005
- Author(s)
  Teruaki Kitano, Masaaki Suzuki
- Journal Title
  
  Experimental Mathematics 14・4
  
  Pages: 385-390
- Data Source
  KAKENHI-PROJECT-17540064
[Journal Article] Twisted Alexander polynomials and surjectivity of a group homomorphism2005
- Author(s)
  KITANO, Teruaki, SUZUKI, WADA
- Journal Title
  
  Algebr.Geom.Topol. 5
  
  Pages: 1315-1324
- Data Source
  KAKENHI-PROJECT-16204005
[Journal Article] L^2 Torsion inuariants of a surface bundle over S^12004
- Author(s)
  KITANO, Teruaki, Morifiji
- Journal Title
  
  J.Math.Soc.Japan 56
  
  Pages: 503-518
- Data Source
  KAKENHI-PROJECT-16204005
[Journal Article] L^2-torsion invariants of a surface bundle over S^12004
- Author(s)
  T.Kitano, T.Morifuji, M.Takasawa
- Journal Title
  
  J.Math.Soc.Japan. 56
  
  Pages: 503-518
- NAID
  10013123065
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Twisted Alexander polynomials for SL(2 ; C)-irreducible representations of torus knots
- Author(s)
  TERUAKI KITANO and TAKAYUKI MORIFUJI
- Journal Title
  
  Annali della Scuola Normale Superiore
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540100
[Journal Article] Dirisibility of twisted Alexander polynomial and fibered knots
- Author(s)
  T.Kitano, T.Morifuji
- Journal Title
  
  Annali della Scoula normale superiore di Pisa (発表予定)
- Data Source
  KAKENHI-PROJECT-15540064
[Presentation] 結び目群の間の全射準同型写像から見た結び目の幾何的構造や不変量について2023
- Author(s)
  北野晃朗
- Organizer
  日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03505
[Presentation] Morse-Smale flowを用いたReidemeister torsionのトーラス和公式について2023
- Author(s)
  北野晃朗, 清水達郎
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03505
[Presentation] Reidemeister torsion の代数的整数性について2022
- Author(s)
  北野晃朗, 野崎雄太
- Organizer
  2022年度日本数学会年会トポロジー分科会
- Data Source
  KAKENHI-PROJECT-19K03505
[Presentation] Reidemeister torsionの代数的整数性について2022
- Author(s)
  北野晃朗, 野崎雄太
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03505
[Presentation] Reidemeister torsion of a homology 3-sphere after Dennis Johnson2019
- Author(s)
  Teruaki Kitano
- Organizer
  The 14th East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05161
[Presentation] Brieskornホモロジー3球面のSL(2;C)-既約表現のReidemeister torsionについて2018
- Author(s)
  北野晃朗
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-16K05161
[Presentation] 結び目のスプライス和で与えられるホモロジー3球面のSL(2;C)-既約表現のReidemeister torsionの値の有限性について2017
- Author(s)
  北野晃朗
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K05161
[Presentation] A polynomial invariant of a homology 3-sphere defined by Reidemeister torsion2017
- Author(s)
  北野晃朗
- Organizer
  RIMS研究集会「Casson不変量に関わる3次元多様体の不変量」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2017-01-26
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] A polynomial invariant of a homology 3-sphere defined by Reidemeister torsion2017
- Author(s)
  Teruaki Kitano
- Organizer
  The 12th East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2017-02-15
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05161
[Presentation] Brieskornホモロジー3 球面の基本群のSL(2;C)- 表現のReidemeister torsionから定まる多項式について2017
- Author(s)
  北野晃朗, Anh Tran
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京
- Year and Date
  2017-03-25
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] SL(2;R)-representations of a Brieskorn homology 3-sphere2016
- Author(s)
  北野晃朗, 山口祥司
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  関西大学
- Year and Date
  2016-09-17
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] 結び目群の SL(2; C)-表現から定まる C^2 -係数ねじれ 1 次元コホモロジーとtwisted Alexander polynomial2015
- Author(s)
  北野晃朗
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-15
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] Reidemeister torsion of a homology 3-sphere obtained by 1/n-surgery along a (p,q)-torus-knot2015
- Author(s)
  Teruaki Kitano
- Organizer
  The tenth East Asian school of knots and related topics
- Place of Presentation
  East China Normal University
- Year and Date
  2015-01-28
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] 8の字結び目をDehn手術して得られるホモロジー球面のSL (2;C)-既約表現応するReidemeister torsionについて2015
- Author(s)
  北野晃朗
- Organizer
  日本数学会年会トポロジー分科会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-23
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] トーラス結び目をDehn手術して得られるホモロジー球面のSL (2;C)-既約表現に対応するReidemeister torsionについて2014
- Author(s)
  北野晃朗
- Organizer
  日本数学会秋季総合分科会トポロジー分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-28
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] Reidemeister torsion of a homology 3-sphere surgeried along a (p,q)-torus knot for SL(2;C)-representations2014
- Author(s)
  Teruaki Kitano
- Organizer
  Seoul International Congress of Mathematicians 2014
- Place of Presentation
  Coex, Seoul, Korea
- Year and Date
  2014-08-14
- Data Source
  KAKENHI-PROJECT-25400101
[Presentation] SL(2,Z/d)-represenations of a knot group and Alexander polynomial as an obstruction2012
- Author(s)
  Teruaki Kitano
- Organizer
  The 8th East Asian School of Knots and Related Topics
- Place of Presentation
  KAIST, Korea
- Year and Date
  2012-01-10
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Linear representations over a finite field of a knot group and the Alexander polynomial as an obstruction2012
- Author(s)
  TERUAKI KITANO
- Organizer
  Branched Co verings, Degenerations, and Related Topics 2012
- Place of Presentation
  広島大学
- Year and Date
  2012-03-05
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] SL(2, Z/d)-represenations of a knot group and Alexander polynomial as an obstruction2012
- Author(s)
  TERUAKI KITANO
- Organizer
  The 8th East Asian School of Knots and Related Topics
- Place of Presentation
  KAIST,大韓民国
- Year and Date
  2012-01-10
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] SL(2,Z/d)-represenations of a knot group and Alexander polynomial as an obstruction2012
- Author(s)
  Teruaki Kitano
- Organizer
  Algebre, Dynamique et Topologie
- Place of Presentation
  Universite de Provence(招待講演)
- Year and Date
  2012-03-12
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Linear representations over a finite field of a knot group and the Alexander polynomial as an obstruction2012
- Author(s)
  Teruaki Kitano
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2012
- Place of Presentation
  広島大学(招待講演)
- Year and Date
  2012-03-05
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Epimorphisms between knot groups and special values of colored Jones polynomials (II)2011
- Author(s)
  北野晃朗-新村正之
- Organizer
  トポロジーとコンピュータ2011
- Place of Presentation
  名城大学
- Year and Date
  2011-11-13
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] On the Alexander polynomial of a knot as an obstruction for linear representations of a knot group2011
- Author(s)
  Teruaki Kitano
- Organizer
  Circle valued Morse theory and Alexander invariants
- Place of Presentation
  東京大学(招待講演)
- Year and Date
  2011-11-19
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Epimorphisms between knot groups and special values of colored Jones polynomials(II)2011
- Author(s)
  新村正之, 北野晃朗
- Organizer
  トポロジーとコンピュータ2011
- Place of Presentation
  名城大学
- Year and Date
  2011-11-13
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Linear representations over a finite field of a knot group and the Alexander polynomial as an obstruction2011
- Author(s)
  Teruaki Kitano
- Organizer
  北京大学Topology seminar
- Place of Presentation
  北京大学(招待講演)
- Year and Date
  2011-10-12
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] トーラス結び目のねじれAlexander多項式2011
- Author(s)
  北野晃朗, 森藤孝之
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学
- Year and Date
  2011-03-20
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] On the Alexander polynomial of a knot as an obstruction for linear representations of a knot group2011
- Author(s)
  TERUAKI KITANO
- Organizer
  Circle valued Morse theory and Alexander invariants
- Place of Presentation
  東京大学
- Year and Date
  2011-11-19
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Linear representations over a finite field of a knot group and the Alexander polynomial as an obstruction2011
- Author(s)
  TERUAKI KITANO
- Organizer
  Peking University Topology seminar
- Place of Presentation
  北京大学,中国
- Year and Date
  2011-10-12
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Epimorphisms between knot groups and special values of colored Jones polynomials2010
- Author(s)
  TERUAKI KITANO
- Organizer
  トポロジーとコンピュータ2010
- Place of Presentation
  東京工業大学
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] A partial order on the set of prime knots2010
- Author(s)
  北野晃朗
- Organizer
  The 6th East Asian School of Knots and Related Topics
- Place of Presentation
  Nankai Univ., China
- Year and Date
  2010-01-26
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] Epimorphisms between knot groups2010
- Author(s)
  TERUAKI KITANO
- Organizer
  Peking University Topology seminar
- Place of Presentation
  北京大学,中国
- Year and Date
  2010-05-10
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] 結び目のtwisted Alexander多項式入門2010
- Author(s)
  北野晃朗
- Organizer
  東京女子大トポロジーセミナー
- Place of Presentation
  東京女子大学
- Year and Date
  2010-06-19
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] A partial order on the set of prime Knots2010
- Author(s)
  TERUAKI KITANO
- Organizer
  The 6th East Asian School of Knots and Related Topics
- Place of Presentation
  Chern Institute of Mathematice,南開大学,中国
- Year and Date
  2010-01-26
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] A partial order on the set of prime knots2010
- Author(s)
  北野晃朗
- Organizer
  The 6-th Asian School of Knots and Related Topics、Chern 研究所
- Place of Presentation
  中国
- Year and Date
  2010-01-26
- Data Source
  KAKENHI-PROJECT-19204003
[Presentation] 素な結び目の間の半順序に関する幾つかの注意2009
- Author(s)
  北野晃朗, 鈴木正明
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] 11交点以下の素な結び目の間の半順序について2009
- Author(s)
  松本峰子, 堀江啓一, 北野晃朗, 鈴木正明
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-27
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] 素な結び目の間の半順序に関する幾つかの注意2009
- Author(s)
  北野晃朗, 鈴木正明
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21540100
[Presentation] 11交点以下の素な結び目の間の半順序について2009
- Author(s)
  松本峰子-堀江啓一-北野晃朗-鈴木正明
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-27
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] 円周上の曲面束のL^2-torsion 不変量と写像類群のMagnus表現2008
- Author(s)
  北野晃朗
- Organizer
  Hodge理論・退化・特異点の代数幾何とトポロジー研究集会(第4回)
- Place of Presentation
  東北学院大学
- Year and Date
  2008-03-13
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] Magnus Representations of the Mapping Class Group and L^2-Torsion Invariants2008
- Author(s)
  北野晃朗
- Organizer
  FINITE TYPE INVARIANTS, FAT GRAPHS AND TORELLI-JOHNSON-MORITA THEORY
- Place of Presentation
  CTQM, Aarhus university
- Year and Date
  2008-03-29
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] Magnus representations of the mapping class group and L^2-Torsion invariants2008
- Author(s)
  Teruaki KITANO
- Organizer
  Finite Type Invariants, Fat Graphs and Torelli-Johnson-Morita Theory
- Place of Presentation
  CTQM, Aarhus Univ. Denmark
- Year and Date
  2008-03-29
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] On the number of SL(2; Z/pZ)-representations of knot groups2008
- Author(s)
  北野晃朗
- Organizer
  The Fourth East Asian School. of Knots and Related Topics
- Place of Presentation
  東京大学
- Year and Date
  2008-01-21
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] On the number of SL(2 ; Z/pZ)-representations of knot groups2008
- Author(s)
  Teruaki Kitano-Masaaki Suzuki
- Organizer
  The Fourth East Asian School of Knots and Related Topics
- Place of Presentation
  Univ. Tokyo
- Year and Date
  2008-01-21
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] L^2-torsion invariants of a surface bundle over the circle Braids in Paris2008
- Author(s)
  Teruaki KITANO
- Organizer
  Institut de Mathematiques de Jussieu, Universite Paris Diderot (Paris 7)
- Place of Presentation
  France
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] 写像類群とL^2-torsion2008
- Author(s)
  北野晃朗
- Organizer
  葉層構造論シンポジウム
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2008-10-31
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] L^2 torsion invariants of a surface bundle over the circle2007
- Author(s)
  北野晃朗
- Organizer
  Braids in Paris
- Place of Presentation
  パリ第7大学
- Year and Date
  2007-09-18
- Data Source
  KAKENHI-PROJECT-19204003
[Presentation] 結び目群のSL(2 ; Z/pZ)-表現とその応用2007
- Author(s)
  北野晃朗
- Organizer
  広島大学トポロジー・幾何セミナー
- Year and Date
  2007-11-20
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] 結び目群の有限体上の線型表現の個数について2007
- Author(s)
  北野晃朗-鈴木正明
- Organizer
  日本数学会年会
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-30
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] 写像類群のMagnus表現と円周上の曲面束のL^2-torsion不変量について2007
- Author(s)
  北野晃朗
- Organizer
  東京農工大・森藤孝之氏との共同研究
- Place of Presentation
  広島大学数学教室談話会
- Year and Date
  2007-11-20
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] 結び目群の有限体上の線型表現とその応用2007
- Author(s)
  北野晃朗
- Organizer
  第54回全日本トポロジーシンポジュウム(鈴木正明氏(秋田大学)との共同研究)
- Place of Presentation
  会津大学
- Year and Date
  2007-08-08
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] 結び目群の有限体上の線型表現とその応用2007
- Author(s)
  北野晃朗
- Organizer
  全日本トポロジーシンポジウム
- Place of Presentation
  会津大学
- Year and Date
  2007-08-08
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] Twisted Alexander polynomial and related topics (I)2007
- Author(s)
  北野晃朗
- Organizer
  広島大学トポロジー・幾何セミナー
- Year and Date
  2007-11-28
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] L^2-torsion invariants and the Magnus representation of the mapping class group2006
- Author(s)
  Teruaki KITANO
- Organizer
  Groups of Diffeomorphisms 2006
- Place of Presentation
  Univ. Tokyo
- Year and Date
  2006-09-11
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] 円周上の曲面束のL^2-torsionと写像類群のマグナス表現2006
- Author(s)
  北野晃朗
- Organizer
  大阪市立大学数学教室談話会
- Year and Date
  2006-11-08
- Data Source
  KAKENHI-PROJECT-17540064
[Presentation] Twisted Alexander polynomial
- Author(s)
  Teruaki Kitano
- Organizer
  Winter Braids V
- Place of Presentation
  University of Pau
- Year and Date
  2015-02-17 – 2015-02-19
- Invited
- Data Source
  KAKENHI-PROJECT-25400101

1. MORIFUJI Takayuki (90334466)

# of Collaborated Projects: 6 results

# of Collaborated Products: 4 results
2. SUZUKI Masaaki (70431616)

# of Collaborated Projects: 3 results

# of Collaborated Products: 19 results
3. YOSHIDA Tomoyoshi (60055324)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. SHIGA Hiroshige (10154189)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. FUTAKI Akito (90143247)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. ENDO Hisaaki (20323777)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. MURAKAMI Hitoshi (70192771)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. FURUTA Mikio (50181459)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. KAWAZUMI Nariya (30214646)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. FUJII Michihiko (60254231)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
11. TAKASAWA Mitsuhiko (80323822)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. MORITA Shigeyuki (70011674)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. TSUBOI Takashi (40114566)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. MITSUMATSU Yoshihiko (70190725)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. FUJIWARA Koji (60229078)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. TSUJI Hajime (30172000)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. KOJIMA Sadayoshi (90117705)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. KOHNO Toshitake (80144111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. MATSUMOTO Makoto (70231602)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. MURAKAMI Jun (90157751)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. AKITA Toshiyuki (30279252)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. HIROSE Susumu (10264144)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. KASAHARA Yasushi (80299370)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. SAKASAI Takuya (60451902)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. TERASHIMA Yuji (70361764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. ISHIKAWA Masaharu (10361784)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. USHIJIMA Akira (50323803)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. Goda Hiroshi (60266913)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. YAMAGUCHI YOSHIKAZU (30534044)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. MATSUMOTO Mineko

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
31. DIETER Kotschick

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. ROBERT Penner

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. TRAN Anh

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

Kitano Teruaki 北野 晃朗

KITANO TERUAKI 北野 晃朗

Research Projects

Research Products

Co-Researchers

3次元多様体の基本群の指標多様体と位相的構造との関連についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Reidemeister torsionに関するJohnson理論の深化Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Torsion invariants for hyperbolic manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Pro-finite completion of a 3-manifold group and its relation to topological invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on partial orders on sets of 3-manifolds defined by epimorphisms between fundamental groups.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Groups and Moduli Spaces (2)

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Groups and Moduli Spaces

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Various inbariants appearing in low-dimensional topology

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Conformal Field Theory and Witten Invariant

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

円周上の曲面束の構造を許容する3次元双曲的多様体の位相不変量に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Gauge Theory and 3-Dimensional Manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

種類2以上の曲面の写像類群と円周上の曲面束の不変量に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Kitano Teruaki 北野晃朗

KITANO TERUAKI 北野晃朗