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TAKATA Toshie  高田 敏恵

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… Alternative Names

高田 敏江  タカタ トシエ

高田 敏恵  タカタ トシエ

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Researcher Number 40253398
Affiliation (based on the past Project Information) *help 2015 – 2019: 九州大学, 数理学研究院, 准教授
2015: 九州大学, 大学院数理学研究院, 准教授
2012 – 2015: 九州大学, 数理(科)学研究科(研究院), 准教授
2012: 九州大学, 数理学研究院, 准教授
2010 – 2011: 九州大学, 大学院・数理学研究院, 准教授 … More
2007 – 2008: Niigata University, 自然科学系, 准教授
2005 – 2006: 新潟大学, 自然科学系, 助教授
2005: 新潟大学, 大学院・自然科学研究科, 助教授
2001 – 2005: 新潟大学, 理学部, 助教授
2000: KYUSHU UNIVERSITY, Faculty of Math, Lecturer, 大学院・数理学研究院, 講師
2000: 九州大学, 大学院・理数学研究院, 講師
1998 – 1999: Kyushu Univ., G.S.of Math., Assistant Professor, 大学院・数理学研究科, 講師
1998: 九州大学, 大学院数理学研究科, 講師
1994 – 1996: 九州大学, 大学院・数理学研究科, 講師
1994: 九州大学, 大学院数理学研究科, 講師 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry
Except Principal Investigator
Algebra / Algebra / Geometry / Geometry
Keywords
Principal Investigator
量子不変量 / 3次元多様体 / 結び目 / トポロジー / free energy / 3次元多様体 / 保型形式 / 3次元多様体の不変量 / 量子群 / theta function … More / modular form / quantum invariant / knot / 3-manifold / テータ函数 / 量子摂動的不変量 / colored Jones polynomial / 結び目・3次元多様体の量子不変量 / weight system / LMO不変量 / 低次元トポロジー / 双曲結び目 / 3次元多様体の量子不変量 / 結び目の量子不変量 / 普遍摂動的不変量 / 量子群の表現 … More
Except Principal Investigator
共形場理論 / 表現論 / 複素積分 / 位相不変量 / 準モジュラー形式 / モジュラー形式 / セルバーグ型積分 / ねじれサイクル / 一般超幾何函数 / モノドロミー / 超幾何函数 / 接続問題 / 配置空間 / conformal field theory / 多重ベルヌーイ数 / 多重ゼータ値 / quantum invariant / homotopy group / Hopf invariant / LS-category / framed cobordism / genus / cobordism group / 分岐被覆 / ガロワ埋め込み / ガロワ群 / ガロワ被覆 / 特性類 / 特異点 / 可微分写像 / 特異ファイバー / 同境 / 結び目不変量 / 超幾何微分方程式 / フックス型微分方程式 / 既約性 / モノドロミー表現 / ジョーンズ多項式 / 交叉数 / ねじれホモロジー / 擬テータ関数 / 楕円曲線 / 2重アイゼンシュタイン級数 / 2重ゼータ値 / 有限多重ゼータ値 / 頂点作用素代数 / 共系場理論 / 直交多項式 / Mehta積分 / Selberg積分 / Appell / Mehta積分 / Selberg型積分 / ルート系に付随する超幾何函数 / 回路行列 / ロンスキアン / 超幾何積分 / フランス:ドイツ:ベトナム:ブラジル / フランス:ドイツ:ブラジル / 特異Lefschetz束 / 不変量 / 特異点解消 / 特異性類 / ブラジル:フランス / 国際研究者交流 / 実多項式写像芽 / 構造安定性 / データ可視化 / 同境群 / はめ込み / 埋め込み / 特異点消去 / 多項式写像芽 / Galois group / birational transformation / abelian surface / Galois embedding / Galois point / algebraic curve / algebraic surface / ガロワ群の表現 / ガロワ部分空間 / アーベル曲面 / 代数曲線 / 代数曲面 / Fourier coefficients / period polynomials / quasimodular forms / modular forms / 超特異楕円曲線 / アフィンスーパー代数 / extremal形式 / フーリエ係数 / 周期多項式 / resonant condition / zeta regularized products / Jones polynomials / configuration space / Selberg type integral / intersection numbers / twisted cycles / 寺田模型 / q超幾何級数 / 交差数 / ゼータ正規化 / 代数解析 / セルバーグ積分 / 捩れサイクル / 共鳴状態 / 共鳴条件 / ゼータ正規化積 / zeta function / correlation functions / intersection forms / hypergeometric functiom / complex integrals / twisted homology group / representation theory / 球函数 / KZ方程式 / ツイストサイクル / 組み紐群 / 岩堀・ヘッケ環 / ゼータ函数 / 共刑場理論 / ゼーダ函数 / 相関函数 / 交差形式 / Poly-Bernoulli numbers / Multiple Zeta Functions / Multiple L Values / Multiple Zeta Values / 多重ゼータ関数 / 多重L値 / SKgroup / Witten invariant / SK-group / cobordism / homotopy equivalence / Chern-Simon invariant / group action / equivariant genus / ditterential manifold / SK group / 分岐因子 / very ample diviosr / Galois closure surface / モノドロミー群 / 最小ガロワ閉包多様体 / 双有理変換 / ガロワ点 / K3曲面 / 代数幾何学 / 折り目付きレフシェッツ束 / カスプ / K-同値 / 符号数 / 複素射影平面 / 特異Lefschetz構造 / 障害類 / 同境理論 / 高さ関数 / 2次障害類 / 安定摂動 / モース写像 / 4次元有向同境群 / スペシャル・ジェネリック写像 / 曲面絡み目 / 多様体 / 接触 / レーブグラフ / 同境類 / 可微分多様体 / 可視化 / 多様体対 / ホモトピー原理 / 可微分構造 / 大域的特異点論 / 微分トポロジー / エクストリーマルモジュラー形式 / 多重アイゼンシュタイン級数 / モジュライ空間 / パンルヴェ方程式 / 擬モジュラー形式 / 楕円モジュラー関数 / 多重三角函数 / qラカー多項式 / 量子不変量 / 微分方程式 / 確定特異点型微分方程式 / アクセサリパラメタ / 積分表示解 / ローリッツェンのF_D函数 / アッペルのF_1函数 / ガウス超幾何函数 / ヘッケ代数 / 積分表示 / 有限アーベル群 / 双対性 / モジュラー不変性 / アソシエ-シエンスキーム / スピンモデル Less
  • Research Projects

    (25 results)
  • Research Products

    (65 results)
  • Co-Researchers

    (54 People)
  •  Study on geometric properties of quantum invariants of knots and 3-manifoldsPrincipal Investigator

    • Principal Investigator
      高田 敏恵
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Study on on properties and an extension of series and functions obtained from the quantum invariant of rational homology 3-shperesPrincipal Investigator

    • Principal Investigator
      TAKATA Toshie
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  New developments of singularity theory of mappings

    • Principal Investigator
      SAEKI OSAMU
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Recent development of special functions from the viewpoint of the representation theory and the integrals in complex variables

    • Principal Investigator
      MIMACHI KATSUHISA
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
      Tokyo Institute of Technology
  •  Study of modular/quasimodular forms and multiple zeta values appearing in various aspects of mathematics and physics

    • Principal Investigator
      Kaneko Masanobu
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Study of perturbative quantum invariant of rational homology 3-spheresPrincipal Investigator

    • Principal Investigator
      TAKATA Toshie
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Recent development of special functions from the viewpoint of representation theory and integrals of complex variables

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Studies on modular and quasimodular forms arising in various contexts in mathematics and physics

    • Principal Investigator
      KANEKO Masanobu
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Global Theory of Singularities of Differentiable Maps and its Applications

    • Principal Investigator
      SAEKI Osamu
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Study on the Galois embeddings of K3 surfaces

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Research of number theoretic properties of quantum invariants of knots and 3-manifolds and its applicationPrincipal Investigator

    • Principal Investigator
      TAKATA Toshie
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
  •  Study on Galois embeddings of algebraic surfaces

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Research of relation among quantum invariant and number theoretic invariants and modular formsPrincipal Investigator

    • Principal Investigator
      TAKATA Toshie
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
  •  Recent development of special functins … an approach from the representation thery and the complex integrals

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technoroly
  •  Research of modular and quasimodular forms arising in various areas of mathematics and their application

    • Principal Investigator
      KANEKO Masanobu
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERCITY
  •  量子不変量の漸近挙動から得られる不変量の研究Principal Investigator

    • Principal Investigator
      高田 敏恵
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
      Kyushu University
  •  Recent development of special functios ----an approach from the representation thery and the complex integrals

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  3次元多様体の普遍摂動的不変量の性質と応用Principal Investigator

    • Principal Investigator
      高田 敏恵
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  STUDY OF MULTIPLE ZETA VALUES

    • Principal Investigator
      KANEKO Masanobu
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  On multiplicative genera related to deformation of smooth manifolds

    • Principal Investigator
      KAMATA Masayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYUSHU UNIVERSITY
  •  量子不変量の性質と漸近的挙動Principal Investigator

    • Principal Investigator
      高田 敏恵
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  新しい3次元多様体の不変量の構成Principal Investigator

    • Principal Investigator
      高田 敏恵
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  3次元多様体の不変量とその応用Principal Investigator

    • Principal Investigator
      高田 敏恵
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyushu University
  •  代数的組合せ論の手法を用いるリンク、3次元多様体の位相不変量の構成

    • Principal Investigator
      坂内 悦子
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  量子群の表現から得られる3次元多様体の不変量の性質と応用Principal Investigator

    • Principal Investigator
      高田 敏恵
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2004 2002 Other

All Journal Article Presentation

  • [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] The slope conjecture for graph knots2017

    • Author(s)
      茂手木公彦、高田敏恵
    • Journal Title

      Math. Proc. Cambridge Philos. Soc.

      Volume: 162 Issue: 3 Pages: 383-392

    • DOI

      10.1017/s0305004116000566

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400094, KAKENHI-PROJECT-26400099
  • [Journal Article] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2015

    • Author(s)
      Tomotada Ohtsuki, Toshie Takata
    • Journal Title

      Geometry and Topology

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340010
  • [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] On the SO(N) and Sp(N) free energy of a rational homology 3-sphere2011

    • Author(s)
      高田敏恵
    • Journal Title

      International Joounal of Mathematics

      Volume: 22 Issue: 04 Pages: 465-482

    • DOI

      10.1142/s0129167x11006866

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540073, KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-23340115
  • [Journal Article] On the SO(N) and Sp(N) free energy of a rational homology 3-sphere2011

    • Author(s)
      高田敏恵
    • Journal Title

      International Journal of Mathematics

      Volume: 22 Pages: 465-482

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Journal Article] On the set of the logarithm of The LMO invariant for integral homology 3-spheres2009

    • Author(s)
      高田敏恵
    • Journal Title

      Math. Proc. Camb. Phil. Soc Vol.145

      Pages: 349-361

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] Ohtsuki invariants for integral homology shperes and Habiro's cyclotomic expansion2009

    • Author(s)
      高田敏恵
    • Journal Title

      J. of Knot Theory and Its Ramifications Vol.18

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] Ohtsuki invariants for integral homology spheres and Habiro's cyclotomic expansion2009

    • Author(s)
      高田 敏恵
    • Journal Title

      J. Knot Theory Ramifications 18

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] On the set of the logarithm of the LMO invariant for integral homology 3-spheres2009

    • Author(s)
      高田 敏恵
    • Journal Title

      Math. Proc. Camb. Phil. Soc. 145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] A Formula for the Colored Jones Polynomial of 2-Bridge Knots2008

    • Author(s)
      高田敏恵
    • Journal Title

      Kyungpook Mathematical Journal Vol.48, No.2

      Pages: 255-280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] A formula for the colored Jones polynomial of 2-bridge knots2008

    • Author(s)
      T. Takata
    • Journal Title

      Kyngpook Math., J vol.48

      Pages: 255-280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Journal Article] On the set of the logarithm of the LMO invariant for integral homology 3-spheres2008

    • Author(s)
      T. Takata
    • Journal Title

      Math. Proc. Camb. Phil. Soc. (to appear) (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] On the set of the logarithm of the LMO invariant for integral homology 3-spheres2008

    • Author(s)
      T. Takata
    • Journal Title

      Math. Proc. Cambridge Philos. Soc vol.145

      Pages: 349-361

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Journal Article] A formula for the colored Jones polynomial of 2-bridge knots2008

    • Author(s)
      高田 敏恵
    • Journal Title

      Kyungpook Mathematical Journal 48

      Pages: 255-280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] Reshetikhin-Turaev invariants of Seifert 3-manifolds2004

    • Author(s)
      S.K.Hansen, T.Takata
    • Journal Title

      Journal of Knot Theory and Ramifications 13-5

      Pages: 617-668

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340014
  • [Journal Article] Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras2004

    • Author(s)
      Takata, Toshie
    • Journal Title

      J.Knot Theory Ramifications 13-5

      Pages: 617-668

    • Data Source
      KAKENHI-PROJECT-15340014
  • [Journal Article] Reshetikhin Turaev invariants of Seifert 3-monifolds for classical simple Lie algebras2004

    • Author(s)
      H.S.Kold, T.Takata
    • Journal Title

      J. Knot Theory and Its Ramification 13

      Pages: 617-668

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Reshetikhin-Turaev invariants of Seifert-manifolds for classical simple Lie algebras2004

    • Author(s)
      H.S.Kold, T.Takata
    • Journal Title

      J.Knot Theory and Its Ramifications 13

      Pages: 617-668

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Reshetikhin--Turaev invariants of Seifert 3-manifolds2004

    • Author(s)
      S.K.Hansen, T.Takata
    • Journal Title

      J.Knot Theory Ramifications 13, no.5

      Pages: 617-668

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340014
  • [Journal Article] Reshetikhin Turaev invariants of Seifert 3-monifolds for classical simple Lie algebras2004

    • Author(s)
      H.S.Kold, T.Takata
    • Journal Title

      J.Knot Theory and Its Ramif. 13

      Pages: 617-668

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Kashaev's conjecture and the Chern--Simons invariants of knots and links.2002

    • Author(s)
      H.Murakami, J.Murakami, M.Okamoto.T.Takata, Y.Yokota
    • Journal Title

      Experimental Math. 11

      Pages: 447-455

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] Kashaev's conjecture and the Chern-Simons invariants of knots and links2002

    • Author(s)
      Hitoshi Murakami, Jun Murakami, Miyuki Okamoto, Toshie Takata, Yoshiyuki Yokota
    • Journal Title

      Experimental Mathematics 11

      Pages: 447-455

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] A formula for the colored Jones polynomial of 2-bridge knots

    • Author(s)
      高田 敏恵
    • Journal Title

      Kyungpook Mathematical Journal (To appear in)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540067
  • [Journal Article] A formula for the colored Jones polynomial of 2-bridge knots

    • Author(s)
      T.Takata
    • Journal Title

      Kyungpook Mathematical Journal (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540067
  • [Journal Article] Ohtsuki invariants for integral homology spheres and Habiro's cyclotomic expansion

    • Author(s)
      高田 敏恵
    • Journal Title

      J. Knot Theory Ramifications (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] On the set of the logarithm of the LMO invariant for integral homology 3-spheres

    • Author(s)
      高田 敏恵
    • Journal Title

      Math. Proc. Camb. Phil. Soc. (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540069
  • [Journal Article] A formula for the colored Jones polynomial of 2-bridge knots

    • Author(s)
      T.Takata
    • Journal Title

      Kyungpook Math. Jour. (to appear)印刷中

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Presentation] The strong slope conjecture for cablings and connected sums2020

    • Author(s)
      高田敏恵
    • Organizer
      East Asian Conference on Geometric Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05256
  • [Presentation] The strong slope conjecture for graph knots2019

    • Author(s)
      高田敏恵
    • Organizer
      Geometry and Topology Symposium in Kanazawa
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05256
  • [Presentation] The strong slope conjecture for graph knots2019

    • Author(s)
      高田敏恵
    • Organizer
      E-KOOK
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05256
  • [Presentation] The strong slope conjecture for graph knots2019

    • Author(s)
      高田敏恵
    • Organizer
      秋田研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05256
  • [Presentation] On the quantum SU(2) invariant at $q=\exp(4\pi\sqrt{-1}/N)$ and the twisted Reidemeister torsion for some closed 3-manifolds2018

    • Author(s)
      高田敏恵
    • Organizer
      Representation Spaces, Teichmuller Theory, and their Relationship with 3-manifolds from the Classical and Quantum Viewpoints
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05256
  • [Presentation] The strong slope conjecture for twisted generalized Whitehead doubles2018

    • Author(s)
      高田敏恵
    • Organizer
      Modular Forms and Quantum Knot Invariants
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05256
  • [Presentation] The slope conjecture and periodic construction2017

    • Author(s)
      高田敏恵
    • Organizer
      Low dimensional topology and number theory IX
    • Place of Presentation
      九州大学産学官連携イノベーションプラザ
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] The slope conjecture for graph knots2016

    • Author(s)
      高田敏恵
    • Organizer
      拡大KOOKセミナー2016
    • Place of Presentation
      大阪電気通信大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] On the asymptotic expansions of the Kashaev invariant of some hyperbolic knots with 8 crossings2016

    • Author(s)
      高田敏恵
    • Organizer
      Workshop on Volume Conjecture and Quantum Topology
    • Place of Presentation
      早稲田大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] The slope conjecture and periodic construction2016

    • Author(s)
      高田敏恵
    • Organizer
      東北結び目セミナー2016
    • Place of Presentation
      東北大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] The slope conjecture for graph knots2015

    • Author(s)
      Toshie Takata
    • Organizer
      拡大KOOKセミナー2015
    • Place of Presentation
      神戸大学
    • Year and Date
      2015-08-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2015

    • Author(s)
      Toshie Takata
    • Organizer
      Intelligence of Low-dimensional Topology
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2015-05-22
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] The slope conjecture for graph knots2015

    • Author(s)
      高田敏恵
    • Organizer
      拡大KOOKセミナー2015
    • Place of Presentation
      神戸大学
    • Year and Date
      2015-08-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2015

    • Author(s)
      高田敏恵
    • Organizer
      Intelligence of Low-dimensional Topology
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2015-05-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2014

    • Author(s)
      高田敏恵
    • Organizer
      Quantum Topology and Physics 2014 Fukuoka
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2014-09-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2014

    • Author(s)
      高田敏恵
    • Organizer
      Quantum Topology and Physics 2014 Fukuoka
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2014-09-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] On the slope conjecture for cables of knots2014

    • Author(s)
      高田敏恵
    • Organizer
      2014年度東北結び目セミナー
    • Place of Presentation
      秋田市カレッジプラザ
    • Year and Date
      2014-10-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] On the slope conjecture for cables of knots2014

    • Author(s)
      高田敏恵
    • Organizer
      2014年度東北結び目セミナー
    • Place of Presentation
      秋田市カレッジプラザ
    • Year and Date
      2014-10-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] 結び目群の表現とcolored Jones polynomial2013

    • Author(s)
      Toshie Takata
    • Organizer
      群と幾何学の展望
    • Place of Presentation
      玉原セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] On the kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2013

    • Author(s)
      Toshie Takata
    • Organizer
      曲面の写像類群に関連する幾何と代数
    • Place of Presentation
      KKR 箱根宿泊所
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] 結び目群の表現とcolored Jones polynomial2013

    • Author(s)
      高田 敏恵
    • Organizer
      群と幾何学の展望
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots2013

    • Author(s)
      高田 敏恵
    • Organizer
      曲面の写像類群に関する幾何と代数
    • Place of Presentation
      文部科学省共済組合箱根宿泊所四季の湯強羅星雲荘
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400094
  • [Presentation] An algebraic formula of the Witten-Reshetikihin-Turaev invariant for 3-manifolds2012

    • Author(s)
      高田敏恵
    • Organizer
      The 8th East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST(韓国)
    • Year and Date
      2012-01-09
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] An algebraic formula of the Witten-Reshetikihin-Turaev invariant for 3-manifods2012

    • Author(s)
      高田敏恵
    • Organizer
      The 8the East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST, Korea(招待講演)
    • Year and Date
      2012-01-09
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] An algebraic formula of the Witten-Reshetikihin-Turaev invariant for 3-manifods2012

    • Author(s)
      高田敏恵
    • Organizer
      The 8the East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST(韓国)
    • Year and Date
      2012-01-09
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] Ribbon Hopf algebrasと3次元多様体の量子不変量2011

    • Author(s)
      高田敏恵
    • Organizer
      結び目の量子不変量とそのカテゴリー化
    • Place of Presentation
      早稲田大学(招待講演)
    • Year and Date
      2011-08-24
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] Ribbon Hopf algebras と3次元多様体の量子不変量2011

    • Author(s)
      高田敏恵
    • Organizer
      結び目の量子不変量とそのカテゴリー化
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-08-24
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] Ribbon Hopf algebrasと3次元多様体の量子不変量2011

    • Author(s)
      高田敏恵
    • Organizer
      結び目の量子不変量とそのカテゴリー化
    • Place of Presentation
      早稲田大学(東京)
    • Year and Date
      2011-08-24
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] On the SO(N) and Sp(N) free energy of a rational homology 3-sphere2010

    • Author(s)
      高田敏恵
    • Organizer
      量子群と量子トポロジー
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-04-20
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] 3次元多様体のLMO不変量と摂動的不変量について2010

    • Author(s)
      Toshie Takata
    • Organizer
      日本数学会2010年度秋季総合分科会トポロジー分科会特別講演
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Presentation] A relation between the HOMFLY and Kauffman polynomials for 2-component torus links2010

    • Author(s)
      高田敏恵
    • Organizer
      広島大学トポロジー・幾何セミナー
    • Place of Presentation
      広島大学
    • Year and Date
      2010-07-13
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] A relation between the HOMFLY and Kauffman polynomials for 2-component torus links2010

    • Author(s)
      Toshie Takata
    • Organizer
      広島大学トポロジー・幾何セミナー
    • Place of Presentation
      広島大学
    • Year and Date
      2010-07-13
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Presentation] On the SO(N)and Sp(N) free energy of a closed oriented 3-manifold2010

    • Author(s)
      T. Takata
    • Organizer
      Mapping class groups, TQFT and invariants of 3-manifolds
    • Place of Presentation
      東京工業大学
    • Year and Date
      2010-02-17
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Presentation] 3次元多様体のLMO不変量と摂動的不変量について2010

    • Author(s)
      高田敏恵
    • Organizer
      日本数学会2010年度秋季総合分科会トポロジー分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] 3 次元多様体の LMO 不変量と摂動的不変量について2010

    • Author(s)
      高田敏恵
    • Organizer
      日本数学会 2010 年度秋季総合分科会トポロジー分科会特別講演
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-22540073
  • [Presentation] On the SO(N) and Sp(N) free energy of a rational homology 3-sphere2010

    • Author(s)
      Toshie Takata
    • Organizer
      量子群と量子トポロジー
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-04-20
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Presentation] A complete set of relations for Ohtsuki's invariants of integral homology 3-spheres2007

    • Author(s)
      高田 敏恵
    • Organizer
      Knotting Mathematics and Art: Conference in Low Dimensional Topology and Mathematical Art
    • Place of Presentation
      アメリカ
    • Year and Date
      2007-11-02
    • Data Source
      KAKENHI-PROJECT-19540069
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  • 2.  KANEKO Masanobu (70202017)
    # of Collaborated Projects: 5 results
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  • 3.  HIKAMI Kazuhiro (60262151)
    # of Collaborated Projects: 5 results
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  • 4.  MIMACHI Katsuhisa (40211594)
    # of Collaborated Projects: 4 results
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  • 5.  YOSHIDA Masaaki (30030787)
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  • 6.  KOIKE Masao (20022733)
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  • 7.  TAGUCHI Yuichiro (90231399)
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  • 8.  HOSONO Shinobu (60212198)
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  • 12.  TAKAYAMA Haruko (90274430)
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