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Ishikawa Masaharu  石川 昌治

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ISHIKAWA Masaharu  石川 昌治

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Researcher Number 10361784
Other IDs
Affiliation (Current) 2019: 慶應義塾大学, 経済学部(日吉), 教授
Affiliation (based on the past Project Information) *help 2018 – 2019: 慶應義塾大学, 経済学部(日吉), 教授
2016 – 2017: 東北大学, 理学研究科, 准教授
2015: 東北大学, 大学院理学研究科, 准教授
2012 – 2015: 東北大学, 理学(系)研究科(研究院), 准教授
2008 – 2012: Tohoku University, 大学院・理学研究科, 准教授 … More
2007: Tokyo Institute of Technology, 大学院・理工学研究科, 助教
2005 – 2006: 東京工業大学, 大学院理工学研究科, 助手
2003 – 2005: 東京工業大学, 大学院・理工学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry
Keywords
Principal Investigator
接触構造 / 特異点 / オープンブック分解 / ファイバー結び目 / Stein fillable / 特異点論 / 結び目理論 / 低次元トポロジー / 多面体 / Stein fillabale … More / オーブンブック分解 / 3次元多様体 / Divide / 結び目論理 / 3次元多様体論 / ミルナー束 / 3次元多様体論 / 特異点の変形 / 安定写像 / ハンドル分解 / 混合多項式 / shadow / Gromov norm / トーリック型コンパクト化 / 幾何学 / 3次元多様体 / 4次元多様体 … More
Except Principal Investigator
特異点 / 特異ファイバー / Reidemeister torsion / 同境群 / データ可視化 / 不変量 / 微分位相幾何 / 幾何的トポロジー / 特異点の変形 / 安定写像 / 混合多項式 / 複素特異点 / 結び目 / 3次元多様体 / 色付きJones多項式 / 体積予想 / 量子不変量 / Chern-Simons不変量 / torus結び目 / 体積 / Jones多項式 / Alexander多項式 / トーラス結び目 / 8の字結び目 / Dehn手術 / knot / 3-mainfold / colored Jones polynomial / volume conjecture / quantum invariant / Chern-Simons invariant / 多項式写像芽 / 特異点消去 / 埋め込み / はめ込み / 可微分写像 / 構造安定性 / 実多項式写像芽 / 配置空間 / 国際研究者交流 / ブラジル:フランス / 同境 / 特異性類 / 特異点解消 / 特異Lefschetz束 / 特性類 / フランス:ドイツ:ブラジル / フランス:ドイツ:ベトナム:ブラジル / 2橋結び目 / 穴あきトーラス / クライン群 / 離散群 / 双曲構造 / CAT(0)空間 / シンメトリー群 / 放物的変換 / 自由周期 / アキラル / Heckoid群 / 解消トンネル / 自由周期結び目 / Hopfian群 / 双曲結び目 / 交代結び目 / 強可逆結び目 / ザイフェルト曲面 / 橋分解 / ヘガード分解 / モノドロミー群 / 2橋絡み目 / 放物的生成系 / 交代絡み目 / 低次元トポロジー / 産業数学 / 特異点論 / 特異Lefschetz構造 / trisection / 多目的最適化 / 多様体対 / レフシェッツ束 Less
  • Research Projects

    (12 results)
  • Research Products

    (64 results)
  • Co-Researchers

    (33 People)
  •  多面体による写像の特異点および多様体の幾何構造の研究Principal InvestigatorOngoing

    • Principal Investigator
      石川 昌治
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Keio University
  •  Innovative research of geometric topology and singularities of differentiable mappingsOngoing

    • Principal Investigator
      佐伯 修
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Innovation of singularity theory of mappings and new development of topology

    • Principal Investigator
      佐伯 修
    • Project Period (FY)
      2017
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  ファイバー束構造による実特異点の位相的研究と多様体の具体的構成への応用Principal InvestigatorOngoing

    • Principal Investigator
      石川 昌治
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  3次元多様体の幾何構造と組合せ構造Ongoing

    • Principal Investigator
      作間 誠
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hiroshima University
  •  多項式写像および混合多項式写像の無限遠の特異点の位相的研究Host Researcher

    • Host Researcher
      石川 昌治
    • Project Period (FY)
      2013 – 2014
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Deformations of real singularities and decompositions of monodromiesPrincipal Investigator

    • Principal Investigator
      ISHIKAWA MASAHARU
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku 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
  •  Study on quasipositive surfaces in manifolds with contact structures and applications to complex singularity theoryPrincipal Investigator

    • Principal Investigator
      ISHIKAWA Masaharu
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Research on open book decompositions appearing on the boundary of complex domains with contact structuresPrincipal Investigator

    • Principal Investigator
      ISHIKAWA Masaharu
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
      Tokyo Institute of Technology
  •  平面曲線から構成される、多様体のオープンブック分解と接触構造に関する研究Principal Investigator

    • Principal Investigator
      石川 昌治
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Various inbariants appearing in low-dimensional topology

    • Principal Investigator
      MURAKAMI Hitoshi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technorogy

All 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] 曲空間の幾何学―古典幾何から初等微分幾何まで―2009

    • Author(s)
      P.M.H.ウィルソン著, 小島定吉監訳, 石川昌治訳
    • Total Pages
      216
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Journal Article] On Innermost Circles of the Sets of Singular Values for Generic Deformations of Isolated Singularities2017

    • Author(s)
      Kazumasa Inaba, Masaharu Ishikawa, Masayuki Kawashima, Nguyen Tat Thang
    • Journal Title

      Acta Mathematica Vietnamica

      Volume: 42 Pages: 237-247

    • DOI
      10.1007/s40306-016-0200-1
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05140
  • [Journal Article] Virtual unknotting numbers of certain virtual torus knots2017

    • Author(s)
      Masaharu Ishikawa, Hirokazu Yanagi
    • Journal Title

      Journal of Knot Theory and Its Ramifications 26

      Volume: 26 Pages: 1750070-1750070

    • DOI
      10.1142/s0218216517500705
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05140
  • [Journal Article] Construction of spines of two-bridge link complements and upper bounds of their Matveev complexities2016

    • Author(s)
      石川 昌治,根本 啓介
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 掲載確定

    • Acknowledgement Compliant / Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Journal Article] Stable maps and branched shadows of 3-manifolds2016

    • Author(s)
      石川 昌治,古宇田 悠哉
    • Journal Title

      Mathematische Annalen

      Volume: 掲載確定

    • Acknowledgement Compliant / Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Journal Article] On linear deformations of Brieskorn singularities of two variables into generic maps2016

    • Author(s)
      稲葉 和正,石川 昌治,川島 正行,Nguyen Tat Thang
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 掲載確定

    • Acknowledgement Compliant / Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Journal Article] A note on linear deformations of plane curve singularities2015

    • Author(s)
      稲葉 和正,石川 昌治,川島 正行,Nguyen Tat Thang
    • Journal Title

      数理解析研究所講究録

      Volume: 1948 Pages: 77-84

    • Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Journal Article] Tangle sums, norm curves, and cyclic surgeries2013

    • Author(s)
      Masaharu Ishikawa, Thomas W. Mattman, Koya Shimokawa
    • Journal Title

      Proceedings of the June 2012 RIMS Seminar "Representation spaces, twisted topological invariants and geometric structures of 3-manifolds."

      Volume: 未定 Pages: 18-33

    • Data Source
      KAKENHI-PROJECT-22740032
  • [Journal Article] Compatible contact structures of fibered Seifert links in homology 3-spheres2012

    • Author(s)
      Masaharu Ishikawa
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 64 Pages: 25-59

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Journal Article] Legendrian framings for two-bridge links2011

    • Author(s)
      Sebastian Baader, Masaharu Ishikawa
    • Journal Title

      Proceedings of American Mathematical Society

      Volume: 139 Pages: 4513-4520

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Journal Article] Finite surgeries on three-tangle pretzel knots2009

    • Author(s)
      D.Futer, M.Ishikawa, Y.Kabaya, T.Mattman, K.Shimokawa
    • Journal Title

      Algebraic & Geometric Topology 9

      Pages: 743-771

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Journal Article] On the contact structure of a class of real analytic germs of the form $f\bar{g}$2009

    • Author(s)
      M.Ishikawa
    • Journal Title

      Advanced Studies in Pure Mathematics 56

      Pages: 201-223

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Journal Article] On the contact structure of a class of real analytic germs of the form f\bar g、Singularities-Niigata-Toyama 20072009

    • Author(s)
      石川昌治
    • Journal Title

      Advanced Studies in Pure Mathematics 56巻

      Pages: 201-223

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Journal Article] Legendrian graphs and quasipositive diagrams2009

    • Author(s)
      S.Baader, M.Ishikawa
    • Journal Title

      Annales de la Faculte des Sciences de Toulouse XVIII

      Pages: 285-305

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Journal Article] Finite surgeries on three-tangle pretzel knots2009

    • Author(s)
      David Futer、石川昌治、蒲谷祐一、Thomas Mattman、下川航也
    • Journal Title

      Algebraic & Geometric Topology 9巻

      Pages: 743-771

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Journal Article] Legendrian graphs and quasipositive diagrams2009

    • Author(s)
      Sebastian Baader、石川昌治
    • Journal Title

      Annales de la Faculte des Sciences de Toulouse XVIII巻

      Pages: 285-305

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Journal Article] Exceptional surgery and boundary slopes2006

    • Author(s)
      M.Ishikawa, T.Mattman, K.Shimokawa
    • Journal Title

      Osaka Journal of Mathematics 43

      Pages: 807-821

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] Positive open book decompositions of Stein fillable 3-manifolds along prescribed links2006

    • Author(s)
      M.Ishikawa
    • Journal Title

      Topology 45

      Pages: 325-342

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] Positive open book decompositions of Stein fillable 3-manifolds along prescribed link2006

    • Author(s)
      M.Ishikawa
    • Journal Title

      Topology 45・2

      Pages: 325-342

    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] Positive open book decompositions of Stein fillable 3-manifolds along prescribed links2006

    • Author(s)
      石川昌治
    • Journal Title

      Topology 45

      Pages: 325-342

    • Data Source
      KAKENHI-PROJECT-16740031
  • [Journal Article] Exceptiona 1 surgery and boundary slopes2006

    • Author(s)
      M.Ishikawa, T.Mattman, K.Shimokawa
    • Journal Title

      Osaka Journal of Mathematics 43

      Pages: 807-821

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] On the Thurston-Bennequin invariant of graph divide links2005

    • Author(s)
      石川昌治
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society 139

      Pages: 487-495

    • Data Source
      KAKENHI-PROJECT-16740031
  • [Journal Article] On the Thurston-Bennequin invariant of graph divide links2005

    • Author(s)
      石川昌治
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society (発表予定)

    • Data Source
      KAKENHI-PROJECT-16740031
  • [Journal Article] On the Thurston-Bennequin invariant of graph divide links2005

    • Author(s)
      M.Ishikawa
    • Journal Title

      Math.Proc.Camb.Phil.Soc. 139

      Pages: 487-495

    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] On the Thurston-Bennequin in variant of graph divide links2005

    • Author(s)
      M.Ishikawa
    • Journal Title

      Math.Proc.Camb.Phil.Soc. (掲載予定)

    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] Tangent circle bundles admit positive open book decompositions along arbitrary links2004

    • Author(s)
      石川昌治
    • Journal Title

      Topology 43

      Pages: 215-232

    • Data Source
      KAKENHI-PROJECT-16740031
  • [Journal Article] Tangent circle bundles admit positive open book decompositions along arbitrary links2004

    • Author(s)
      M.Ishikawa
    • Journal Title

      Topology 43

      Pages: 215-232

    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] On topological types of reduced sextics2004

    • Author(s)
      M.Ishikawa, T.C.Nguyen, M.Oka
    • Journal Title

      Kodai Math.J. 27・3

      Pages: 237-260

    • Data Source
      KAKENHI-PROJECT-15340019
  • [Journal Article] On topological types of reduced sextics2004

    • Author(s)
      石川昌治, T.C.Nguyen, 岡睦雄
    • Journal Title

      Kodai Mathematical Journal 27

      Pages: 237-260

    • Data Source
      KAKENHI-PROJECT-16740031
  • [Journal Article] Exceptional surgery and boundary slopes

    • Author(s)
      M.Ishikawa, T.W.Mattman, K.Shimokawa
    • Journal Title

      Osaka J.Math. (掲載予定)(決定)

    • Data Source
      KAKENHI-PROJECT-15340019
  • [Presentation] Singularity at infinity of real polynomial maps of two variables2018

    • Author(s)
      石川昌治
    • Organizer
      The 13th Kagoshima Algebra-Analysis-Geometry Seminar, Kagoshima University
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-17H06128
  • [Presentation] Singularity at infinity of real polynomial maps of two variables2018

    • Author(s)
      石川昌治
    • Organizer
      The 13th Kagoshima Algebra-Analysis-Geometry Seminar
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-16K05140
  • [Presentation] On singularities at infinity of real polynomial maps2017

    • Author(s)
      石川昌治
    • Organizer
      理科大ワークショップ,東京理科大学神楽坂キャンパス
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-17H06128
  • [Presentation] 多項式写像の無限遠の特異点とニュートン図形2016

    • Author(s)
      石川昌治
    • Organizer
      トポロジー金曜セミナー
    • Place of Presentation
      九州大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05140
  • [Presentation] Stable maps and branched shadows of 3-manifolds2016

    • Author(s)
      石川昌治
    • Organizer
      III International Conference "Quantum Topology"
    • Place of Presentation
      Steklov Mathematical Institute, ロシア
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-16K05140
  • [Presentation] The bifurcation set of a real polynomial function from a viewpoint of toric compactification2016

    • Author(s)
      石川昌治
    • Organizer
      談話会
    • Place of Presentation
      VIASM, ベトナム
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05140
  • [Presentation] Stable maps and branched shadows of 3-manifolds2015

    • Author(s)
      石川 昌治
    • Organizer
      The 3rd Franco-Japanese-Vietnamese Symposium on Singularities
    • Place of Presentation
      Institute of Mathematics (ベトナム)
    • Year and Date
      2015-11-30
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Presentation] Stable maps and hyperbolic volumes of 3-manifolds2015

    • Author(s)
      石川 昌治
    • Organizer
      Singularities in Generic Geometry and its Applications --- Kobe-Kyoto 2015 (Valencia IV) ---
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-06-08
    • Int'l Joint Research / Invited
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Presentation] Branched shadows and stable maps2014

    • Author(s)
      石川 昌治
    • Organizer
      ワークショップ「超曲面特異点とリンク多様体に関する幾何学」
    • Place of Presentation
      東京理科大学
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Presentation] Branched shadow と安定写像2014

    • Author(s)
      石川 昌治
    • Organizer
      Topology mini Workshop
    • Place of Presentation
      日本大学文理学部
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Presentation] Stable maps and branched shadows2014

    • Author(s)
      石川昌治
    • Organizer
      Mini-Workshop on Topology of Singularities
    • Place of Presentation
      東北大学
    • Year and Date
      2014-11-07
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Presentation] Milnor fibrations and their deformations in low-dimensional topology2013

    • Author(s)
      石川 昌治
    • Organizer
      The Asian Mathematical Conference
    • Place of Presentation
      Bexco, 釜山(韓国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400078
  • [Presentation] On the factorization of A-polynomials2012

    • Author(s)
      Masaharu Ishikawa
    • Organizer
      Topology of Singularities and related topics, III
    • Place of Presentation
      ダラット大学(ベトナム)
    • Year and Date
      2012-03-27
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] Milnor fibrations and contact structures on the 3-sphere2012

    • Author(s)
      Masaharu Ishikawa
    • Organizer
      特異点セミナー
    • Place of Presentation
      リール大学(リール、フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] Tangle sums and factorization of A-polynomials2012

    • Author(s)
      Masaharu Ishikawa
    • Organizer
      RIMS合宿セミナー「Representation spaces, twisted topological invariants and geometric structures of 3-manifolds」
    • Place of Presentation
      強羅
    • Invited
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] Tangle sums and factorization of A-polynomials2012

    • Author(s)
      Masaharu Ishikawa
    • Organizer
      第7回代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2012-02-14
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] Tangle sums and factorization of A-polynomials2011

    • Author(s)
      Masaharu Ishikawa
    • Organizer
      GCOE Workshop, Circle valued Morse theory and Alexander invariants
    • Place of Presentation
      東京大学
    • Year and Date
      2011-11-16
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] Milnor fibrations and contact structures on S^32011

    • Author(s)
      石川昌治
    • Organizer
      Topology of Singularities and Related Topics, II
    • Place of Presentation
      東北大学
    • Year and Date
      2011-01-08
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] f¥bar g-型特異点のミルナー束と両立する接触構造について2011

    • Author(s)
      石川昌治
    • Organizer
      接触構造・特異点・微分方程式およびその周辺
    • Place of Presentation
      京都市職員厚生会職員会館かもがわ
    • Year and Date
      2011-01-24
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] Milnor fibrations and cont act structures on S^32011

    • Author(s)
      石川昌治
    • Organizer
      研究集会「Top ology of Singularities and Related T opics, II」
    • Place of Presentation
      東北大学
    • Year and Date
      2011-01-08
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] f¥bar g-型特異点のミルナー束と両立する接触構造について2011

    • Author(s)
      石川昌治
    • Organizer
      研究集 会「接触構造・特異点・微分方程式およびその周辺」
    • Place of Presentation
      京都市職 員厚生会 職員会館かもがわ
    • Year and Date
      2011-01-24
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] Finite surgeries on three-tangle pretzel knots2010

    • Author(s)
      石川昌治
    • Organizer
      Topology of singularities and related topics
    • Place of Presentation
      ハノイ、ベトナム
    • Year and Date
      2010-03-26
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] On the compatible contact structures of fibered Seifert links in homology 3-spheres2010

    • Author(s)
      石川昌治
    • Organizer
      研究集会「Kno ts, Contact Geometry and Floer Homol ogy」
    • Place of Presentation
      東京大学
    • Year and Date
      2010-05-27
    • Data Source
      KAKENHI-PROJECT-22740032
  • [Presentation] 向きを入れ替えたトーラスリンクの quasipositivity について2009

    • Author(s)
      石川昌治
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      山形
    • Year and Date
      2009-10-19
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] 向きを入れ替えたトーラスリンクのquasipositivityについて2009

    • Author(s)
      石川昌治
    • Organizer
      研究集会「東北結び目セミナー」
    • Place of Presentation
      山形
    • Year and Date
      2009-10-19
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] Contact structures compatible with fibered Seifert links2009

    • Author(s)
      石川昌治
    • Organizer
      Symplectic topology, contact topology and applica tions 2009
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-03-23
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] The standard contact struc- ture and quasipositive surface in S^32009

    • Author(s)
      石川昌治
    • Organizer
      Mini-Workshop on Differential Geome- try and Topology
    • Place of Presentation
      東北大学
    • Year and Date
      2009-10-03
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] Contact structures com- patible with fibered Seifert links2009

    • Author(s)
      石川昌治
    • Organizer
      研究集会「Symplectic topology, contact topology and applications 2009」
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-03-23
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] f\bar g-型の特異点のミルナー束と両立する接触構造について2009

    • Author(s)
      石川昌治
    • Organizer
      研究集会「トポロジーと写像の特異点」
    • Place of Presentation
      信州大学
    • Year and Date
      2009-06-04
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] Contact structures of Seifert links and their cablings2009

    • Author(s)
      石川昌治
    • Organizer
      研究集会「Branched Coverings, Degenera- tions, and Related Topics」
    • Place of Presentation
      広島大学
    • Year and Date
      2009-03-10
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] $f\bar g$-型の特異点のミルナー束と両立する接触構造について2009

    • Author(s)
      石川昌治
    • Organizer
      トポロジーと写像の特異点
    • Place of Presentation
      松本
    • Year and Date
      2009-06-04
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] 実解析的特異点と接触構造について2007

    • Author(s)
      石川昌治
    • Organizer
      研究集会「接触構造と葉層構造」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2007-09-05
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] On real analytic germs and contact structures2007

    • Author(s)
      石川昌治
    • Organizer
      第4回日仏特異点シンポジウム
    • Place of Presentation
      富山
    • Year and Date
      2007-08-29
    • Data Source
      KAKENHI-PROJECT-19740029
  • [Presentation] 3次元多様体の安定写像と分岐シャドーについて

    • Author(s)
      石川昌治
    • Organizer
      2014年度日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25 – 2014-09-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400078
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