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Ohtsuki Tomotada  大槻 知忠

ORCIDConnect your ORCID iD *help
… 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) 2022: 京都大学, 数理解析研究所, 教授
Affiliation (based on the past Project Information) *help 2010 – 2021: 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
Except Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry
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 / 有限型不変量 / 低次元トポロジー / 量子トポロジー / Knot … More / 同変不変量 / 摂動的不変量 / LMO不変量 / Finite Type Invariant / The LMO Invariant / knot / invariant / 2ループ多項式 / 位相幾何学 / 絡み目 / 被覆空間 / 3 次元多様体 / Seifert行列 / コボルディズム / 位相量子場の理論 / Perturbative / 体積予想 / 双曲幾何 / Quantum Invariant / Kontsevich Invariant / Vassiliev Invariant / Perturbative invariant / Kontsevich不変量 / ループ多項式 / Invariant / Kontsevich invariant / 2-loop polynomial … More
Except Principal Investigator
結び目 / 幾何構造 / トポロジー / 3次元トポロジー / 錐多様体 / カンドル / 4次元トポロジー / 2次特性類 / 葉層構造 / グラフィクス / 曲面結び目 / 双曲幾何学 / geometric structure / 位相不変量 / Dehn手術 / 双曲幾何 / 体積 / カスプ / 4次元 / モノドロミー / バイカンドル / 対称カンドル / 3次元多様体 / hyperbolic geometry / cone-manifold / 3-manifold / knot / 層状構造 / 3-dimensional topology / secondary characteristic class / lamination / foliation / 3次元多様体 / 不変量 / 可解模型 / 絡み目の不変量 / 3次元多様体の位相不変量 / Chem-Simms gange理論 / 部分因子環 / パラグループ / コセット構成 / オービフォールド構成 / 多様体 / 双曲多様体 / 可視化 / 型理論 / ラムダ計算 / 位相幾何 / 同境 / カスプ特異点 / 特異ファイバー / 符号数 / 有限型不変量 / モース写像 / 可微分写像 / 特異点 / 写像芽 / 安定摂動 / 分類空間 / 多様体対 / K同値 / 特性類 / レフシェツ・ファイバー束 / チャート / 4次元トポロジー / 4次元 / 高次元結び目 / 仮想結び目 / はめ込み曲面絡み目 / マーカー付きグラフ図式 / 1ハンドル / ラック / レフシェツ・ファイバー空間 / ブレイド群 / racks / Lefschetz fibration / monodromy / braid group / 変形 / 剛体性 / deformation / rigidity / Dehn filling / 体積予想 / volume conjecture / 量子不変量 / 低次元トポロジー / グラフ / 絡み目 / quantum ivariant / lowdimensional topology / graph / 錘多様体 / hyperboloic geometry / cone manifold / volume / 結び目理論 / 物理 / 化学 / 生物 / 2次元結び目 / 2次元ブレイド / チャート図の変形 / マルコフ型定理 / 直交2ハンドル組 / 2次元滑らか結び目 / 解け予想 / 2次元ブレイド / 組みひも群 / オープンブック分解 / 接触幾何 / 量子トポロジー / ブレイド Less
  • Research Projects

    (33 results)
  • Research Products

    (81 results)
  • Co-Researchers

    (67 People)
  •  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Host Researcher

    • Host Researcher
      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 – 2022
    • 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 – 2021
    • 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
      鎌田 聖一
    • 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
      松本 堯生
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Osaka City University
  •  結び目と3次元多様体の量子トポロジーPrincipal Investigator

    • Principal Investigator
      大槻 知忠
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • 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Host Researcher

    • Host Researcher
      大槻 知忠
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • 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
  •  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

All 2020 2019 2018 2017 2016 2015 2014 2012 2010 2009 2008 2007 2005 2004 2003 Other

All Journal Article Presentation Book

  • [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 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 asymptotic expansion of the quantum SU(2) invariant at $q = exp(4 \pi \sqrt{-1}/N)$ for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot2019

    • Author(s)
      Ohtsuki Tomotada
    • Journal Title

      Algebraic & Geometric Topology

      Volume: 18 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 quantum SU(2) invariant at $q=\exp(4\pi\sqrt{-1}/N)$ and the twisted Reidemeister torsion for some closed 3-manifolds2019

    • Author(s)
      大槻知忠,高田敏恵
    • Journal Title

      Commun. Math. Phys.

      Volume: 370 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] 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 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)
      OHTSUKI TOMOTADA、YOKOTA YOSHIYUKI
    • Journal Title

      Math. Proc. Cambridge Philos. Soc.

      Volume: - Pages: 287-339

    • 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 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 asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings2017

    • Author(s)
      T. Ohtsuki
    • Journal Title

      Internat. J. Math.

      Volume: 28 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 expansion of the Kashaev invariant of the 5_2 knot2016

    • Author(s)
      T. Ohtsuki
    • Journal Title

      Quantum Topology

      Volume: 7 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 Pages: 853-952

    • DOI

      10.2140/gt.2015.19.853

    • Peer Reviewed / Acknowledgement Compliant
    • 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 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 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

    • 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
  • 1.  KOJIMA Sadayoshi (90117705)
    # of Collaborated Projects: 9 results
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  • 2.  KAMADA SEIICHI (60254380)
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  • 3.  HABIRO Kazuo (80346064)
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  • 4.  SAEKI Osamu (30201510)
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  • 36.  SHIMADA Ichiro (10235616)
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    # of Collaborated Products: 0 results
  • 37.  MATSUDA Hiroshi (70372703)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  HIROSE Susumu (10264144)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  KAMADA Naoko (60419687)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  FUKUHARA Shinji (20011687)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  YAMAGUCHI Takao (00182444)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  KOBAYASHI Tsuyoshi (00186751)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  NAKANISHI Yasutaka (70183514)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  GOUDA Hiroshi (60266913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  SHIMOKAWA Koya (60312633)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  TANAKA Toshihumi (60396851)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  IWAKIRI Masahide (10453127)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  CHON Inde (30587788)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  KISHIMOTO Kengo (70587774)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  SHIMIZU Ayaka (40638764)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  中島 啓 (00201666)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  河東 泰之 (90214684)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  武部 尚志 (60240727)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  宇沢 達 (40232813)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  平澤 美可三 (00337908)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  逆井 卓也 (60451902)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  山下 靖 (70239987)
    # 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.  MOUSSARD DELPHINE
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 65.  LETURCQ DAVID
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 66.  高田 敏恵
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 2 results
  • 67.  横田 佳之
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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