Kitano Teruaki 北野晃朗

… Alternative Names

Researcher Number	90272658
Other IDs
External Links
Affiliation (Current)	2019: 創価大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2019: 創価大学, 理工学部, 教授 2015 – 2017: 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 … More
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry
Keywords	Principal Investigator 基本群 / ねじれAlexander不変量 / 結び目群 / Reidemeister torsion / 3次元多様体 / 結び目 / 曲面束 / L2-トーション / 双曲的多様体 / Twisted Alexander多項式 … More Except Principal Investigator 3次元多様体 / ゲージ理論 / 共形場理論 / 量子不変量 / Gauge theory / 3-dimensional manfold / Witten invariant / Conformal field theory / 写像類群 / リーマン面 / モジュライ空間 / シンプレクティック微分 / 位相不変量 / 微分同相群 / Witten不変量 / タイヒミュラー空間 / Reidemeister torsion / Alexander多項式 / グラフ / シンプレクティック幾何学 / 4次元多様体 / 自由群 / 葉層構造の特性類 / Gel'fand-Kalinin-Fuks理論 / 絶対ガロア群 / 局所化 / 量子化予想 / ホモロジーシリンダー / ホモロジー3球面 / ループ空間 / Hamiltonベクトル場 / 葉層構造 / 有限型不変量 / 実解析的微分同相群 / Morita-Mumford類 / 双曲多様体 / 結び目理論 / ウィッテン不変量 / ケージ理論 / 位相的場の理論 / 結び目 / 色付きJones多項式 / 体積予想 / Chern-Simons不変量 / torus結び目 / 体積 / Jones多項式 / トーラス結び目 / 8の字結び目 / Dehn手術 / knot / 3-mainfold / colored Jones polynomial / volume conjecture / quantum invariant / Chern-Simons invariant / WZWモデル / ベクトル束のモジュライ空間 / Floerホモトピー型 / 双曲群 / 森田-マンフォード類 / 写像群類 / Teichmuller空間 / サイバーグ・ウィッテン理論 / 双曲幾何学 / 幾何学的群論 / Magnus展開 / アノソフ流 / トーション / 等長変換 / mapping class group / Riemann surface / moduli space / Floer homotopy type / diffeomorphism group / Teichmuller space / hyperbolic group / Morita-Mumford class 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 InvestigatorOngoing
- Principal Investigator
  
  北野晃朗
- Project Period (FY)
  2019 – 2022
- 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 InvestigatorOngoing
- 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
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] 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(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
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340019
[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
[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
- Acknowledgement Compliant / Peer Reviewed / 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
- Acknowledgement Compliant / Peer Reviewed / 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 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 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] 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, Masaaki SUZUKI
- Journal Title
  
  Acta Mathematica Sinica 24
  
  Pages: 1801-1816
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540064
[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 and 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 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] 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] 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] 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] 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] 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] 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 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] 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] 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
- 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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-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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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: 5 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 18 results
3. YOSHIDA Tomoyoshi (60055324)

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4. SHIGA Hiroshige (10154189)

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5. FUTAKI Akito (90143247)

# of Collaborated Projects: 3 results

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6. ENDO Hisaaki (20323777)

# of Collaborated Projects: 3 results

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7. MURAKAMI Hitoshi (70192771)

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8. FURUTA Mikio (50181459)

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9. KAWAZUMI Nariya (30214646)

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10. FUJII Michihiko (60254231)

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11. TAKASAWA Mitsuhiko (80323822)

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12. MORITA Shigeyuki (70011674)

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13. TSUBOI Takashi (40114566)

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14. MITSUMATSU Yoshihiko (70190725)

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15. FUJIWARA Koji (60229078)

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16. TSUJI Hajime (30172000)

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17. KOJIMA Sadayoshi (90117705)

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18. KOHNO Toshitake (80144111)

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19. MATSUMOTO Makoto (70231602)

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20. MURAKAMI Jun (90157751)

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21. AKITA Toshiyuki (30279252)

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23. KASAHARA Yasushi (80299370)

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24. SAKASAI Takuya (60451902)

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25. TERASHIMA Yuji (70361764)

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26. ISHIKAWA Masaharu (10361784)

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27. USHIJIMA Akira (50323803)

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28. MATSUMOTO Mineko

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29. DIETER Kotschick

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30. ROBERT Penner

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31. TRAN Anh

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

Kitano Teruaki 北野 晃朗

北野 晃朗 キタノ テルアキ

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 InvestigatorOngoing

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

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

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

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Geometry of Groups and Moduli Spaces (2)

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

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Geometry of Groups and Moduli Spaces

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Various inbariants appearing in low-dimensional topology

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Conformal Field Theory and Witten Invariant

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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

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Gauge Theory and 3-Dimensional Manifolds

Principal Investigator

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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)

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Research Field

Research Institution

Gauge Theory and 3-Dimensional Manifolds

Principal Investigator

Kitano Teruaki 北野晃朗

北野晃朗キタノテルアキ

KITANO TERUAKI 北野晃朗