Ohtsuki Tomotada 大槻知忠

… Alternative Names

OHTSUKI Tomotada 大槻知忠

大槻知忠オオツキトモタダ

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Researcher Number	50223871
Other IDs
External Links
Affiliation (Current)	2025: 京都大学, 数理解析研究所, 教授
Affiliation (based on the past Project Information) *help	2010 – 2025: 京都大学, 数理解析研究所, 教授 2016: 京都大数理解析研究所, 教授 2007 – 2009: Kyoto University, 数理解析研究所, 准教授 2003 – 2006: 京都大学, 数理解析研究所, 助教授 2002: University of Tokyo, Department of Mathematical Sciences, Associate Professor, 大学院・数理科学研究科, 助教授 … More 2002: 東京工業大学, 大学院・数理科学研究科, 助教授 1996 – 2001: 東京工業大学, 大学院・情報理工学研究科, 助教授 1998 – 1999: 東京工業大学, 情報理工学研究科, 助教授 1993: 東京大学, 大学院・数理科学研究科, 助手 1992: 東京大学, 大学院数理科学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related / General mathematics (including Probability theory/Statistical mathematics) / 解析学
Keywords	Principal Investigator 結び目 / 不変量 / 3次元多様体 / ３次元多様体 / 3-manifold / 量子不変量 / Knot / 量子トポロジー / 低次元トポロジー / 有限型不変量 … More / 2ループ多項式 / invariant / knot / The LMO Invariant / Finite Type Invariant / LMO不変量 / 摂動的不変量 / 同変不変量 / 2-loop polynomial / Kontsevich invariant / Invariant / ループ多項式 / Kontsevich不変量 / Perturbative invariant / Vassiliev Invariant / Kontsevich Invariant / Quantum Invariant / 双曲幾何 / 体積予想 / Perturbative / 位相量子場の理論 / コボルディズム / Seifert行列 / 3 次元多様体 / 被覆空間 / 絡み目 / 位相幾何学 … More Except Principal Investigator トポロジー / 結び目 / 幾何構造 / 低次元トポロジー / ４次元トポロジー / カンドル / 錐多様体 / 3次元トポロジー / geometric structure / 双曲幾何学 / 曲面結び目 / グラフィクス / ４次元 / 葉層構造 / 2次特性類 / 矯飾的手術 / 結び目理論 / foliation / lamination / secondary characteristic class / 3-dimensional topology / 層状構造 / knot / 3-manifold / cone-manifold / hyperbolic geometry / 3次元多様体 / 仮想結び目 / 対称カンドル / バイカンドル / モノドロミー / カスプ / 体積 / 双曲幾何 / Dehn手術 / 位相不変量 / 三次元多様体 / 基本群 / デーン手術 / ブレイド / 曲面ブレイド / 量子トポロジー / 接触幾何 / オープンブック分解 / 組みひも群 / 矯飾的交差 / 正結び目 / 正組みひも / 2次元ブレイド / 解け予想 / 2次元滑らか結び目 / 直交２ハンドル組 / マルコフ型定理 / チャート図の変形 / ２次元ブレイド / ２次元結び目 / 生物 / 化学 / 物理 / volume / cone manifold / hyperboloic geometry / 錘多様体 / graph / lowdimensional topology / quantum ivariant / 絡み目 / グラフ / 量子不変量 / volume conjecture / 体積予想 / Dehn filling / rigidity / deformation / 剛体性 / 変形 / braid group / monodromy / Lefschetz fibration / racks / ブレイド群 / レフシェツ・ファイバー空間 / ラック / １ハンドル / マーカー付きグラフ図式 / はめ込み曲面絡み目 / 高次元結び目 / 4次元 / 4次元トポロジー / チャート / レフシェツ・ファイバー束 / 特性類 / K同値 / 多様体対 / 分類空間 / 安定摂動 / 写像芽 / 特異点 / 可微分写像 / モース写像 / 有限型不変量 / 符号数 / 特異ファイバー / カスプ特異点 / 同境 / 位相幾何 / ラムダ計算 / 型理論 / 可視化 / 双曲多様体 / 多様体 / オービフォールド構成 / コセット構成 / パラグループ / 部分因子環 / Chem-Simms gange理論 / 3次元多様体の位相不変量 / 絡み目の不変量 / 可解模型 Less

Re-examination of classical problems in low-dimensional topology from higher invariants
- Principal Investigator
  
  伊藤哲也
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kyoto University
３次元双曲多様体上の量子トポロジーPrincipal Investigator
- Principal Investigator
  
  大槻知忠
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
配置空間の手法による高次元結び目の不変量Principal Investigator
- Principal Investigator
  
  大槻知忠
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kyoto University
Interrelation between quantum and contact topology via braid group methods
- Principal Investigator
  
  伊藤哲也
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kyoto University
ゲージ理論に関連する３次元双曲多様体の不変量Principal Investigator
- Principal Investigator
  
  大槻知忠
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- Principal Investigator
  
  Kamada Seiichi
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
Solving the smooth unknotting conjecture in dimension four
- Principal Investigator
  
  Matumoto Takao
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka Metropolitan University
  Osaka City University
Quantum Topology of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  Ohtsuki Tomotada
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Quantum topology and invariants of knots and 3-manifolds related to gauge theoryPrincipal Investigator
- Principal Investigator
  
  Ohtsuki Tomotada
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
結び目と３次元多様体の有限型不変量と量子不変量Principal Investigator
- Principal Investigator
  
  大槻知忠
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- Principal Investigator
  
  KAMADA SEIICHI
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Topology of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  Ohtsuki Tomotada
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Studies of knot theory and their applications
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Generalization of quandles and their applications
- Principal Investigator
  
  KAMADA SEIICHI
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
  Hiroshima University
Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- Principal Investigator
  
  KAMADA SEIICHI
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
  Hiroshima University
Equivariant invariants of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Invariants of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Geometry and Invariants of 3-manifolds
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
多様体対への可微分写像に対する有限型不変量の定式化とその応用
- Principal Investigator
  
  SAEKI Osamu
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Invariants of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
Geometry and topology of 3-manifolds II
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
Invariants of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
低次元トポロジーの総合的研究
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Topology related to invariants of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
  Tokyo Institute of Technology
Geometry and Topology of 3-Manifolds
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Topology of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Monodromy calculus in low dimensional topology and "racks".
- Principal Investigator
  
  MASUMOTO Yuki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Deformation of cone-manifolds and topology of 3-mainfolds
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Topology of knots and 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
3次元多様体のトポロジーPrincipal Investigator
- Principal Investigator
  
  大槻知忠
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tokyo Institute of Technology
多様体の幾何構造変形の可視化
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
型理論とその周辺
- Principal Investigator
  
  寶来正子
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
作用素環論における分類問題の研究とその応用
- Principal Investigator
  
  河東泰之
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
3次元多様体のトポロジーと場の理論
- Principal Investigator
  
  牛腸徹
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  The University of Tokyo

[Book] 幾何学百科IV 幾何学と物理2023
- Author(s)
  大槻知忠、満渕俊樹、亀谷幸生
- Total Pages
  392
- Publisher
  朝倉書店
- ISBN
  9784254116199
- Data Source
  KAKENHI-PROJECT-19H01788
[Book] 幾何学百科IV 幾何学と物理2023
- Author(s)
  大槻知忠、満渕俊樹、亀谷幸生
- Total Pages
  392
- Publisher
  朝倉書店
- ISBN
  9784254116199
- Data Source
  KAKENHI-PROJECT-19K21830
[Book] 結び目の不変量2015
- Author(s)
  大槻知忠
- Total Pages
  288
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-26287013
[Book] 結び目の不変量2015
- Author(s)
  大槻知忠
- Total Pages
  277
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-24340012
[Journal Article] Problems on Low-dimensional Topology 20222022
- Author(s)
  T. Ohtsuki (ed.)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2227 Pages: 108-123
- Data Source
  KAKENHI-PROJECT-19K21830
[Journal Article] Problems on Low-dimensional Topology 20212021
- Author(s)
  T. Ohtsuki (ed.)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2191 Pages: 153-163
- Data Source
  KAKENHI-PROJECT-19K21830
[Journal Article] Problems on Low-dimensional Topology 20202020
- Author(s)
  T. Ohtsuki (ed.)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2163 Pages: 120-132
- Open Access
- Data Source
  KAKENHI-PROJECT-20F20726
[Journal Article] Problems on Low-dimensional Topology 20202020
- Author(s)
  T. Ohtsuki (ed.)
- Journal Title
  
  RIMS Kyokyuroku
  
  Volume: 2163 Pages: 120-132
- Open Access
- Data Source
  KAKENHI-PROJECT-19K21830
[Journal Article] On the quantum SU(2) invariant at q=exp(4πi/N) and the twisted Reidemeister torsion for some closed 3-manifolds2019
- Author(s)
  大槻知忠,高田敏恵
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 370 Issue: 1 Pages: 151-204
- DOI
  10.1007/s00220-019-03489-2
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05256, KAKENHI-PROJECT-18K03306, KAKENHI-PROJECT-19K21830, KAKENHI-PROJECT-19H01788, KAKENHI-PROJECT-16K13754, KAKENHI-PROJECT-16H02145
[Journal Article] Problems on Low-dimensional Topology 20192019
- Author(s)
  T. Ohtsuki (ed.)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2129 Pages: 117-132
- Data Source
  KAKENHI-PROJECT-16H02145
[Journal Article] On the asymptotic expansion of the Kashaev invariant of the knots with 6 crossings2018
- Author(s)
  T. Ohtsuki, Y. Yokota
- Journal Title
  
  Math. Proc. Camb. Phil. Soc.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K13754
[Journal Article] On the asymptotic expansion of the quantumSU(2) invariant at q =exp(4π?N) for closed hyperbolic 3?manifolds obtained byintegral surgery along the figure-eight knot2018
- Author(s)
  Ohtsuki Tomotada
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 18 Issue: 7 Pages: 4187-4274
- DOI
  10.2140/agt.2018.18.4187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16F16716, KAKENHI-PROJECT-26287013, KAKENHI-PROJECT-16K13754, KAKENHI-PROJECT-16H02145
[Journal Article] On the asymptotic expansion of the Kashaev invariant of the knots with 6 crossings2018
- Author(s)
  T. Ohtsuki, Y. Yokota
- Journal Title
  
  Math. Proc. Camb. Phil. Soc.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02145
[Journal Article] On the asymptotic expansion of the Kashaev invariant of the knots with 6 crossings2018
- Author(s)
  T. Ohtsuki, Y. Yokota
- Journal Title
  
  Math. Proc. Camb. Phil. Soc.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16F16716
[Journal Article] On the On the asymptotic expansion of the Kashaev invariant of the hyperbolic knots with seven crossings2017
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Internat. J. Math.
  
  Volume: 28 Issue: 13 Pages: 1750096-1750096
- DOI
  10.1142/s0129167x17500963
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K13754, KAKENHI-PROJECT-26287013, KAKENHI-PROJECT-16H02145, KAKENHI-PROJECT-16F16716
[Journal Article] On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings2017
- Author(s)
  OHTSUKI TOMOTADA、YOKOTA YOSHIYUKI
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society
  
  Volume: － Issue: 2 Pages: 1-53
- DOI
  10.1017/s0305004117000494
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04878, KAKENHI-PROJECT-16K13754, KAKENHI-PROJECT-16F16716, KAKENHI-PROJECT-26287013, KAKENHI-PROJECT-16H02145
[Journal Article] On the asymptotic expansion of the Kashaev invariant of the 5_2 knot2016
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Quantum Topology
  
  Volume: 7 Issue: 4 Pages: 669-735
- DOI
  10.4171/qt/83
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16H02145, KAKENHI-PROJECT-16F16716, KAKENHI-PROJECT-24340012, KAKENHI-PROJECT-16K13754
[Journal Article] Problems on Low-dimensional Topology, 20162016
- Author(s)
  T. Ohtsuki (ed)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2004 Pages: 115-129
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16F16716
[Journal Article] Problems on Low-dimensional Topology, 20162016
- Author(s)
  T. Ohtsuki (ed)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2004 Pages: 115-129
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16K13754
[Journal Article] Problems on Low-dimensional Topology, 20162016
- Author(s)
  T. Ohtsuki (ed)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2004 Pages: 115-129
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340012
[Journal Article] Problems on Low-dimensional Topology, 20162016
- Author(s)
  T. Ohtsuki (ed)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2004 Pages: 115-129
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16H02145
[Journal Article] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2015
- Author(s)
  大槻知忠, 高田敏恵
- Journal Title
  
  Geometry and Topology
  
  Volume: 19 Issue: 2 Pages: 853-952
- DOI
  10.2140/gt.2015.19.853
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400094, KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-24340012, KAKENHI-PROJECT-26287013
[Journal Article] The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant2012
- Author(s)
  T. Kuriya, T. T. Q. Le, T. Ohtsuki
- Journal Title
  
  J Topology
  
  Volume: 5 Issue: 2 Pages: 458-484
- DOI
  10.1112/jtopol/jts010
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540077
[Journal Article] The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant.2012
- Author(s)
  Takahito Kuriya, Thang T. Q. Le, Tomotada Ohtsuki
- Journal Title
  
  J. Topology
  
  Volume: 5 Pages: 458-484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340012
[Journal Article] Perturbative invariants of 3-manifolds with the first Bettinumber 12010
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Geometry and Topology
  
  Volume: 14 Pages: 1993-2045
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540077
[Journal Article] Problems on Low-dimensional Topology2010
- Author(s)
  T.Ohtsuki(編集)
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1716 Pages: 119-141
- NAID
  110007729384
- Data Source
  KAKENHI-PROJECT-21540077
[Journal Article] Perturbative invariants of 3-manifolds with the first Betti number 12010
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Geometry and Topology
  
  Volume: 14 Issue: 4 Pages: 1993-2045
- DOI
  10.2140/gt.2010.14.1993
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540077
[Journal Article] Invariants of knots derived from equivariant linking matrices of their surgery presentations2009
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Internat. J. Math. 20
  
  Pages: 883-913
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Invariants of knots derived from equivariant linking matrices of their surgery presentations.2009
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Internat. J.Math. 20
  
  Pages: 883-913
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540077
[Journal Article] Invariants of knots derived from equivariant linking matricesof their surgery presentations2009
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Internat. J. Math
  
  Volume: 20 Issue: 07 Pages: 883-913
- DOI
  10.1142/s0129167x09005583
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540077
[Journal Article] Epimorphisms between 2-bridge link groups2008
- Author(s)
  T. Ohtsuki, R. Riley, M. Sakuma
- Journal Title
  
  Geometry & Topology Monograph
  
  Pages: 417-450
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Epimorphisms between 2-bridge link groups2008
- Author(s)
  T. Ohtsuki, R. Riley and M. Sakuma
- Journal Title
  
  Geometry and Topology Monographs (To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] Epimorphisms between 2-bridge link groups2008
- Author(s)
  T. Ohtsuki, R. Riley, M. Sakuma
- Journal Title
  
  Geom. Topol. Monogr. 14
  
  Pages: 417-450
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] Epimorphisms between 2-bridge link groups2008
- Author(s)
  T. Ohtsuki, R. Riley, M. Sakuma
- Journal Title
  
  Geom. Topol. Monogr 14
  
  Pages: 417-450
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] Epimorphisms between 2-bridge link groups2008
- Author(s)
  T. Ohtsuki, R. Riley, M. Sakuma
- Journal Title
  
  Geom. Topol. Monogr. 14
  
  Pages: 417-450
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Invariants of knots and 3-manifolds, Sugaku Expositions 20 (2007) 1-142007
- Author(s)
  T. Ohtsuki
- Journal Title
  
  「結び目と3次元多様体の有限型不変量、数学」の英訳 52
  
  Pages: 53-66
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] Equivariant quantum invariants of the infinite cyclic covers of knot complements2007
- Author(s)
  Tomotada Ohtsuki
- Journal Title
  
  Intelligence of Low Dimensional Topology 2006, World Scientific Publishing Co. (in press)
- Data Source
  KAKENHI-PROJECT-18654014
[Journal Article] Invariants of knots and 3-manifolds2007
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Sugaku Expositions 20
  
  Pages: 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] On the 2-loop polynomial of knots2007
- Author(s)
  Tomotada Ohtsuki
- Journal Title
  
  Geometry and Topology 11
  
  Pages: 1357-1475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Vanishing of 3-loop Jacobi diagrams of odd degree2007
- Author(s)
  D. Moskovich, T. Ohtsuki
- Journal Title
  
  J. Combin. Theory Ser. A. 114
  
  Pages: 919-930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] On the 2-loop polynomial of knots2007
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Geometry and Topology 11
  
  Pages: 1357-1475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18654014
[Journal Article] Vanishing of 3-loop Jacobi diagrams of odd degree2007
- Author(s)
  D. Moskovich, T. Ohtsuki
- Journal Title
  
  J. Combin. Theory Ser. A 114
  
  Pages: 919-930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] Equivariant quantum invaria- nts of the infinite cyclic covers of knot complements2007
- Author(s)
  T. Ohtsuki
- Journal Title
  
  "ntelligence of Low Dimensional Topology 2006", Ser. Knots Everything 40, World Sci. Publ., Hackensack, NJ
  
  Pages: 25-262
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] On the 2-loop polynomial of knots2007
- Author(s)
  Tomotada Ohtsuki
- Journal Title
  
  Geometry & Topology 11
  
  Pages: 1357-1475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Vanishing of 3-loop Jacobi diagrams of odd degree2007
- Author(s)
  D. Moskovich, T. Ohtsuki
- Journal Title
  
  J. Combin. Theory Ser. A 114
  
  Pages: 919-930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] On the 2-loop polynomial of knots2007
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Geometry and Topology 11
  
  Pages: 1357-1475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] On the 2-loop polynomial of knots2007
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Geometry and Topology 11
  
  Pages: 1357-1475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Invariants of knots and 3-manifolds2005
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Sugaku Expositions (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] A cabling formula for the 2-loop polynomial of knots2004
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 949-971
- NAID
  110001050931
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] Problems on invariants of knots and 3-manifolds2004
- Author(s)
  T.Ohtsuki(ed.)
- Journal Title
  
  Invariants of knots and 3-manifolds (Kyoto 2001), Geom.Topol.Monogr.(Geom.Topol.Publ.Coventry,2004) 4
  
  Pages: 377-572
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] A cabling formula for the 2-loop polynomial of knots.2004
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 949-971
- NAID
  110001050931
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] Problems on invariants of knots and 3-manifolds2004
- Author(s)
  T.Ohtsuki (ed.)
- Journal Title
  
  Invariants of knots and 3-manifolds (Kyoto 2001), Geom.Topol.Monogr. (Geom.Topol.Publ.Coventry, 2004) 4
  
  Pages: 377-572
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] Problems on invariants of knots and 3-manifolds2004
- Author(s)
  T.Ohtsuki (ed.)
- Journal Title
  
  Invariants of knots and 3-manifolds (Kyoto 2001), Geom.Topol.Monogr.(Geom.Topol.Publ., Coventry, 2004.) 4
  
  Pages: 377-572
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] 結び目と3次元多様体の不変量2003
- Author(s)
  大槻知忠
- Journal Title
  
  数学(日本数学会編集)(岩波書店) 55
  
  Pages: 337-349
- NAID
  10013701644
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] Musubime to 3-jigen tayoutai no fuhenryo (in Japanese)2003
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Sugaku (Math Soc.Japan)(Iwanami-Syoten) 55
  
  Pages: 337-349
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] Invariants of knots and 3-manifolds
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Sugaku Expositions (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540063
[Journal Article] Equivariant quantum invariants of the infinite cyclic covers of knot complements
- Author(s)
  T.Ohtsuki
- Journal Title
  
  World Scientific Publishing Co. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540073
[Journal Article] Equivariant quantum invariants of the infinite cyclic covers of knot complements
- Author(s)
  T.Ohtsuki
- Journal Title
  
  World Scientific Publishing Co. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540073
[Journal Article] Equivariant quantum invariants of the infinite cyclic covers of knot complements
- Author(s)
  T.Ohtsuki
- Journal Title
  
  Proceedings of Intelligence of Low Dimensional Topology 2006, World Scientific Publishing Co. (to appear)
- Data Source
  KAKENHI-PROJECT-17540073
[Journal Article] Vanishing of 3-loop Jacobi diagrams of odd degree
- Author(s)
  D.Moskovich, T.Ohtsuki
- Journal Title
  
  J. Combin. Theory Ser. A. (to appear)
- Data Source
  KAKENHI-PROJECT-17540073
[Journal Article] Invariants of knots derived from equivariant linking matrices of their surgery presentations
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Internat. J. Math(to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Journal Article] Vanishing of 3-loop Jacobi diagrams of odd degree
- Author(s)
  D.Moskovich, T.Ohtsuki
- Journal Title
  
  J. Combin. Theory Ser. A. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540073
[Journal Article] Vanishing of 3-loop Jacobi diagrams of odd degree
- Author(s)
  D.Moskovich, T.Ohtsuki
- Journal Title
  
  J.Combin. Theory Ser. A. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540073
[Journal Article] Invariants of knots derived from equivariant linking matrices of their surgery presentations.
- Author(s)
  T. Ohtsuki
- Journal Title
  
  Internat. J. Math. 印刷中(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540073
[Presentation] On the asymptotic expansion of the quantum SU(2) invariant at q = \exp(4\pi/N) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot2016
- Author(s)
  T. Ohtsuki
- Organizer
  Volume conjecture and quantum topology
- Place of Presentation
  早稲田大学（東京都新宿区）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340012
[Presentation] On the asymptotic expansion of the quantum SU(2) invariant at q = \exp(4\pi/N) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot2016
- Author(s)
  T. Ohtsuki
- Organizer
  Volume conjecture and quantum topology
- Place of Presentation
  早稲田大学（東京都新宿区）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02145
[Presentation] On the asymptotic expansion of the quantum ${\rm\bf SU}(2)$ invariant at $q = \exp(\ypi/N)$ for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot2016
- Author(s)
  T. Ohtsuki
- Organizer
  Volume conjecture and quantum topology
- Place of Presentation
  早稲田大学（東京都新宿区）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287013
[Presentation] On the asymptotic expansion of the quantum SU(2) invariant at q = exp(4\pi/N) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot2016
- Author(s)
  T. Ohtsuki
- Organizer
  Volume conjecture and quantum topology
- Place of Presentation
  早稲田大学（東京都新宿区）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16F16716
[Presentation] On the asymptotic expansion of the quantum SU(2) invariant at q = \exp(4\pi/N) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot2016
- Author(s)
  T. Ohtsuki
- Organizer
  Volume conjecture and quantum topology
- Place of Presentation
  早稲田大学（東京都新宿区）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13754
[Presentation] On the asymptotic expansion of the Kashaev invariant of some hyperbolic knots2015
- Author(s)
  T. Ohtsuki
- Organizer
  Braids, Configuration Spaces and Quantum Topology
- Place of Presentation
  東京大学
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340012
[Presentation] On the asymptotic expansion of the Kashaev invariant of some hyperbolic knots2015
- Author(s)
  Tomotada Ohtsuki
- Organizer
  Braids, Configuration Spaces and Quantum Topology
- Place of Presentation
  東京大学（東京都目黒区）
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287013
[Presentation] 結び目のKashaev不変量の漸近展開について2014
- Author(s)
  大槻知忠
- Organizer
  多様体のトポロジーの展望
- Place of Presentation
  東京大学（東京都目黒区）
- Year and Date
  2014-11-28
- Invited
- Data Source
  KAKENHI-PROJECT-26287013
[Presentation] 結び目のKashaev不変量の漸近展開について2014
- Author(s)
  大槻知忠
- Organizer
  多様体のトポロジーの展望
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2014-11-28
- Invited
- Data Source
  KAKENHI-PROJECT-24340012
[Presentation] On the asymptotic expansion of the Kashaev invariant of knots2012
- Author(s)
  T. Ohtsuki
- Organizer
  The 3rd GCOE Workshop for Young Mathematicians
- Place of Presentation
  Kyoto University
- Year and Date
  2012-02-20
- Data Source
  KAKENHI-PROJECT-21540077
[Presentation] A refinement of the LMO invariant for 3-manifolds with the first Betti number 12008
- Author(s)
  T. Ohtsuki
- Organizer
  Workshop "Finite type invariants, fat graphs and Torelli-Johnson-Morita theory"
- Place of Presentation
  Aarhus University, Denmark
- Year and Date
  2008-04-01
- Data Source
  KAKENHI-PROJECT-19540073
[Presentation] ベッチ数が1の3次元多様体に対するLMO不変量の精密化と摂動的不変量2008
- Author(s)
  大槻知忠
- Organizer
  トポロジーシンポジウム
- Place of Presentation
  金沢市文化ホール
- Year and Date
  2008-08-06
- Data Source
  KAKENHI-PROJECT-19540073
[Presentation] ベッチ数が1の3次元多様体に対するLMO不変量の精密化と摂動的不変量2008
- Author(s)
  大槻知忠
- Organizer
  トポロジーシンポジウム
- Place of Presentation
  金沢市文化ホール
- Year and Date
  2008-08-06
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] A refinement of the LMO invariant for 3-manifolds with the first Betti number 12008
- Author(s)
  大槻知忠
- Organizer
  Finite type invariants, fat graphs and Torelli-Johnson-Morita theory
- Place of Presentation
  Aarhus University (Denmark)
- Year and Date
  2008-04-01
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] A refinement of the LMO invariant for 3-manifolds with the first Betti number 12007
- Author(s)
  大槻知忠
- Organizer
  International Conference on Topology and its Applications 2007
- Place of Presentation
  京都大学
- Year and Date
  2007-12-05
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] A refinement of the LMO invariant for 3-manifolds with the first Betti number 1, International Conference on Topology and its Applications 20072007
- Author(s)
  T. Ohtsuki
- Organizer
  A Joint conference with "4th Japan Mexico Topology Conference"
- Place of Presentation
  Kyoto University
- Year and Date
  2007-12-05
- Data Source
  KAKENHI-PROJECT-19540073
[Presentation] A refinement of the LMO invariant for 3-manifolds with the first Betti number 12007
- Author(s)
  T. Ohtsuki
- Organizer
  International Conference on Topology and its Applications 2007, A Joint conference with "4th Japan Mexico Topology Conference", Kyoto University
- Place of Presentation
  京都大学
- Year and Date
  2007-12-05
- Data Source
  KAKENHI-PROJECT-19540073
[Presentation] ベッチ数が1の3次元多様体の摂動的不変量2007
- Author(s)
  大槻知忠
- Organizer
  トポロジーセミナー
- Place of Presentation
  東京工業大学
- Year and Date
  2007-10-31
- Data Source
  KAKENHI-PROJECT-19540073
[Presentation] A perturbative invariant of 3-manifolds with the first Betti number 12007
- Author(s)
  大槻知忠
- Organizer
  Geometric Topology Conference
- Place of Presentation
  Peking University (China)
- Year and Date
  2007-06-19
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] A perturbative invariant of 3-manifolds with the first Betti number 12007
- Author(s)
  T. Ohtsuki
- Organizer
  Geometric Topology Conference
- Place of Presentation
  Peking University, Beijing, China
- Year and Date
  2007-06-19
- Data Source
  KAKENHI-PROJECT-19540073
[Presentation] A perturbative invariant of 3-manifolds with the first Betti number 12007
- Author(s)
  T. Ohtsuki
- Organizer
  Geometric Topology Conference
- Place of Presentation
  Peking University,Beijing, China
- Year and Date
  2007-06-19
- Data Source
  KAKENHI-PROJECT-18654014
[Presentation] A refinement of the LMO invariant for 3-manifolds with the first Bettinumber 12007
- Author(s)
  T. Ohtsuki
- Organizer
  International Conference on Topology and its Applications 2007
- Place of Presentation
  京都大学
- Year and Date
  2007-12-05
- Data Source
  KAKENHI-PROJECT-18654014

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49. IWAKIRI Masahide (10453127)

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# of Collaborated Products: 0 results
50. CHON Inde (30587788)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. KISHIMOTO Kengo (70587774)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. SHIMIZU Ayaka (40638764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
53. 中島啓 (00201666)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. 河東泰之 (90214684)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. 武部尚志 (60240727)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. 宇沢達 (40232813)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. 平澤美可三 (00337908)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. 森藤孝之 (90334466)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. 玉木大 (10252058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. 田山育男 (00382036)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. 森内博正 (20453128)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. 古田幹雄 (50181459)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. 早野健太 (20722606)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. 森下昌紀 (40242515)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. 宮澤康行 (60263761)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. 正井秀俊 (40735734)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. MOUSSARD DELPHINE

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
68. LETURCQ DAVID

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
69. 高田敏恵

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
70. 横田佳之

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ohtsuki Tomotada 大槻 知忠

OHTSUKI Tomotada 大槻 知忠

大槻 知忠 オオツキ トモタダ

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３次元双曲多様体上の量子トポロジーPrincipal Investigator

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配置空間の手法による高次元結び目の不変量Principal Investigator

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ゲージ理論に関連する３次元双曲多様体の不変量Principal Investigator

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Quantum Topology of knots and 3-manifoldsPrincipal Investigator

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Quantum topology and invariants of knots and 3-manifolds related to gauge theoryPrincipal Investigator

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結び目と３次元多様体の有限型不変量と量子不変量Principal Investigator

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Topology of knots and 3-manifoldsPrincipal Investigator

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Ohtsuki Tomotada 大槻知忠

OHTSUKI Tomotada 大槻知忠

大槻知忠オオツキトモタダ