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Kawai Kotaro  河井 公大朗

ORCIDConnect your ORCID iD *help
Researcher Number 60728343
Other IDs
Affiliation (Current) 2025: 大阪公立大学, 数学研究所, 特別研究員
Affiliation (based on the past Project Information) *help 2022 – 2023: 大阪公立大学, 数学研究所, 特別研究員
2021: 大阪市立大学, 数学研究所, 特別研究員
2017 – 2020: 学習院大学, 理学部, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related / Geometry
Keywords
Principal Investigator
Cayley部分多様体 / dDT接続 / G2多様体 / associative 部分多様体 / ミラー対称性 / 変形ドナルドソン・トーマス接続 / Liouville 型定理 / 極小接続 / associative部分多様体 / coassociative部分多様体 … More / associator equality / Cayley equality / 変形理論 / multi-moment map / G2-dDT接続 / dHYM接続 / formality / Hessian計量 / モジュライ空間 / Spin(7)多様体 / special holonomy Less
  • Research Projects

    (2 results)
  • Research Products

    (58 results)
  • Co-Researchers

    (1 People)
  •  変形ドナルドソン・トーマス接続のモジュライ空間の性質の解明Principal Investigator

    • Principal Investigator
      河井 公大朗
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Osaka Metropolitan University
      Osaka City University
  •  Submanifolds with conical singularities in manifolds with special holonomyPrincipal Investigator

    • Principal Investigator
      Kawai Kotaro
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
      Gakushuin University

All 2024 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

  • [Journal Article] Mirror of volume functionals on manifolds with special holonomy2022

    • Author(s)
      Kawai Kotaro、Yamamoto Hikaru
    • Journal Title

      Advances in Mathematics

      Volume: 405 Pages: 108515-108515

    • DOI

      10.1016/j.aim.2022.108515

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Journal Article] Deformation Theory of Deformed Hermitian Yang?Mills Connections and Deformed Donaldson?Thomas Connections2022

    • Author(s)
      Kawai Kotaro、Yamamoto Hikaru
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 32 Issue: 5

    • DOI

      10.1007/s12220-022-00898-z

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13415, KAKENHI-PROJECT-21K03231
  • [Journal Article] Almost formality of manifolds of low dimension2021

    • Author(s)
      D. Fiorenza, K. Kawai, H. V. Le and L. Schwachhofer
    • Journal Title

      Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)

      Volume: XXII Pages: 79-107

    • DOI

      10.2422/2036-2145.201905_002

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Journal Article] Deformation Theory of Deformed Donaldson?Thomas Connections for $${\text {Spin}(7)}$$-manifolds2021

    • Author(s)
      Kawai Kotaro、Yamamoto Hikaru
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 31 Issue: 12 Pages: 12098-12154

    • DOI

      10.1007/s12220-021-00712-2

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13415, KAKENHI-PROJECT-21K03231
  • [Journal Article] The real Fourier?Mukai transform of Cayley cycles2021

    • Author(s)
      Kawai Kotaro、Yamamoto Hikaru
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 17 Issue: 5 Pages: 1861-1898

    • DOI

      10.4310/pamq.2021.v17.n5.a7

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13415, KAKENHI-PROJECT-21K03231
  • [Journal Article] Conformal transformations of the pseudo‐Riemannian metric of a homogeneous pair2020

    • Author(s)
      Kawai Kotaro
    • Journal Title

      Journal of the London Mathematical Society

      Volume: 103 Issue: 2 Pages: 516-557

    • DOI

      10.1112/jlms.12383

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Journal Article] Frolicher-Nijenhuis Bracket on Manifolds with Special Holonomy2020

    • Author(s)
      Kawai Kotaro、Van Le Hong、Schwachhofer Lorenz
    • Journal Title

      Lectures and Surveys on G2-Manifolds and Related Topics. Fields Institute Communications

      Volume: 84 Pages: 201-215

    • DOI

      10.1007/978-1-0716-0577-6_8

    • ISBN
      9781071605769, 9781071605776
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Journal Article] Second-Order deformations of associative submanifolds in nearly parallel G2-manifolds2018

    • Author(s)
      Kawai Kotaro
    • Journal Title

      Q. J. Math.

      Volume: 69 Issue: 1 Pages: 241-270

    • DOI

      10.1093/qmath/hax038

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Journal Article] Frolicher-Nijenhuis cohomology on G2- and Spin(7)-manifolds2018

    • Author(s)
      Kawai Kotaro、Le Hong Van、Schwachhofer Lorenz
    • Journal Title

      Internat. J. Math.

      Volume: 29 Issue: 12 Pages: 1850075-1850075

    • DOI

      10.1142/s0129167x18500751

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Journal Article] The Frolicher-Nijenhuis bracket and the geometry of G2- and Spin(7)-manifolds2018

    • Author(s)
      Kawai Kotaro、Le Hong Van、Schwachhofer Lorenz
    • Journal Title

      Ann. Mat. Pura Appl.

      Volume: 197 Issue: 2 Pages: 411-432

    • DOI

      10.1007/s10231-017-0685-9

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Introduction to mirror of submanifolds2024

    • Author(s)
      Kotaro Kawai
    • Organizer
      Geometry-Topology Winter School
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Mirror of minimal submanifolds and a monotonicity formula2024

    • Author(s)
      Kotaro Kawai
    • Organizer
      The 2023 Annual International Congress of Chinese Mathematicians
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Manifolds with exceptional holonomy and mirrors of their submanifolds2024

    • Author(s)
      Kotaro Kawai
    • Organizer
      Tsinghua-Tokyo workshop on Calabi-Yau
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Mirror of minimal submanifolds and a monotonicity formula2024

    • Author(s)
      Kotaro Kawai
    • Organizer
      The 4th International Conference on Surfaces, Analysis, and Numerics in Differential Geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Deformed Donaldson-Thomas connections2023

    • Author(s)
      Kotaro Kawai
    • Organizer
      Satellite conference on geometric analysis
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] 例外型ホロノミー群をもつ多様体およびその部分多様体のミラー2023

    • Author(s)
      河井 公大朗
    • Organizer
      日本数学会2023年度秋季総合分科会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Mirror of minimal submanifolds and a monotonicity formula2023

    • Author(s)
      Kotaro Kawai
    • Organizer
      Tsinghua University Geometry Seminar
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Mirror of submanifolds and special holonomy2023

    • Author(s)
      Kotaro Kawai
    • Organizer
      University of Stuttgart Differential geometry seminar
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] 極小部分多様体のミラーと単調性公式2023

    • Author(s)
      河井 公大朗
    • Organizer
      東北大学幾何セミナー
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Mirror of submanifolds and special holonomy2023

    • Author(s)
      Kotaro Kawai
    • Organizer
      北京師範大学セミナー
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Deformed Donaldson-Thomas connections2023

    • Author(s)
      Kotaro Kawai
    • Organizer
      第8回日中幾何学研究集会
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Mirror of submanifolds and special holonomy2023

    • Author(s)
      Kotaro Kawai
    • Organizer
      Tsinghua University Geometry Seminar
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] 極小部分多様体のミラーと単調性公式2023

    • Author(s)
      河井 公大朗
    • Organizer
      筑波大学微分幾何学セミナー
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Mirror of submanifolds and special holonomy2022

    • Author(s)
      Kotaro Kawai
    • Organizer
      Beijing Institute of Technology Seminar
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Construction of nearly Kahler manifolds by Foscolo and Haskins2022

    • Author(s)
      Kotaro Kawai
    • Organizer
      Tsinghua University Geometry Seminar
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] deformed Donaldson-Thomas 接続について2022

    • Author(s)
      河井 公大朗
    • Organizer
      RIMS 共同研究「部分多様体論と幾何解析の新展開」
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Overview of exceptional geometry2022

    • Author(s)
      Kotaro Kawai
    • Organizer
      Tsinghua University Geometry Seminar
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Deformed Donaldson-Thomas connections2022

    • Author(s)
      Kotaro Kawai
    • Organizer
      Differential Geometry and Integrable Systems - Mathematics of Symmetry, Stability and Moduli -
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] deformed Donaldson-Thomas 接続について2021

    • Author(s)
      河井 公大朗
    • Organizer
      東工大幾何セミナー
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Deformed Donaldson-Thomas connections II2021

    • Author(s)
      Kotaro Kawai
    • Organizer
      Seminar Geometry, Topology, and Their Applications
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Deformed Donaldson-Thomas connections2021

    • Author(s)
      Kotaro Kawai
    • Organizer
      NCTS Seminar on Differential Geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] 体積汎関数のミラーとspecial holonomy2021

    • Author(s)
      河井 公大朗
    • Organizer
      日本数学会2021 年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] 変形ドナルドソン・トーマス接続の変形理論2021

    • Author(s)
      河井 公大朗
    • Organizer
      部分多様体幾何とリー群作用2020
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Deformation theory of deformed Donaldson-Thomas connections2021

    • Author(s)
      Kotaro Kawai
    • Organizer
      The 6th workshop "Complex Geometry and Lie Groups"
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Deformed Donaldson-Thomas connections I2021

    • Author(s)
      Kotaro Kawai
    • Organizer
      Seminar Geometry, Topology, and Their Applications
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Deformed Donaldson-Thomas connections2021

    • Author(s)
      Kotaro Kawai
    • Organizer
      seminar “Cohomology in Algebra, Geometry, Physics and Statistics”
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] deformed Donaldson-Thomas 接続について2021

    • Author(s)
      河井 公大朗
    • Organizer
      九州大学幾何学セミナー
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Spin(7) 多様体に対する変形ドナルドソン・トーマス接続の変形理論2021

    • Author(s)
      河井 公大朗
    • Organizer
      日本数学会2021 年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-21K03231
  • [Presentation] Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections2020

    • Author(s)
      Kotaro Kawai
    • Organizer
      Virtual meeting in Special Geometries and Gauge Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] 変形エルミート・ヤン・ミルズ接続と変形ドナルドソン・トーマス接続の変形理論2020

    • Author(s)
      河井 公大朗
    • Organizer
      日本数学会2020年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Homogeneous pair の擬計量の共形変形2019

    • Author(s)
      河井 公大朗
    • Organizer
      日本数学会2019年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Poincare DGA of Hodge type and its applications2019

    • Author(s)
      Kotaro Kawai
    • Organizer
      The second Taiwan- Japan Joint Conference on Differential Geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Poincare DGA of Hodge type とその応用2019

    • Author(s)
      河井 公大朗
    • Organizer
      第66回幾何学シンポジウム
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Poincare DGA of Hodge type とその応用2019

    • Author(s)
      河井 公大朗
    • Organizer
      神楽坂微分幾何学セミナー
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Second order deformations of associative submanifolds2019

    • Author(s)
      Kotaro Kawai
    • Organizer
      Dirac operators in differential geometry and global analysis
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Poincare DGA of Hodge type とその応用2019

    • Author(s)
      河井 公大朗
    • Organizer
      日本数学会2019年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Calibrated submanifolds in G2 manifolds2019

    • Author(s)
      Kotaro Kawai
    • Organizer
      Geometry-Topology Summer School in Nesin Mathematics Village
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Frolicher-Nijenhuis cohomology on manifolds with special holonomy2018

    • Author(s)
      河井 公大朗
    • Organizer
      大阪大学数学教室幾何セミナー
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Associative部分多様体の2次変形2018

    • Author(s)
      河井 公大朗
    • Organizer
      部分多様体幾何とリー群作用2018
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] ヘッセ計量の共形変形について2018

    • Author(s)
      河井 公大朗
    • Organizer
      統計多様体の幾何学とその周辺(10)
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] 低次元多様体の"almost" formality2018

    • Author(s)
      河井 公大朗
    • Organizer
      玉原トポロジー・幾何セミナー2018
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Frolicher-Nijenhuis cohomology on manifolds with special holonomy2018

    • Author(s)
      Kotaro Kawai
    • Organizer
      Pluripotential Theory, Geometric Analysis and Calibrated Geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Frolicher-Nijenhuis cohomology on G2- and Spin(7)-manifolds2017

    • Author(s)
      Kotaro Kawai
    • Organizer
      Workshop on G2 Manifolds and Related Topics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] 特殊なホロノミー群を持つ多様体上のFrolicher-Nijenhuis bracket2017

    • Author(s)
      河井 公大朗
    • Organizer
      学習院大学・数学科談話会
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Frolicher-Nijenhuis bracket and cohomology on G2- and Spin(7)-manifolds2017

    • Author(s)
      河井 公大朗
    • Organizer
      玉原トポロジー・幾何セミナー
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Frolicher-Nijenhuis cohomology on G2- and Spin(7)-manifolds2017

    • Author(s)
      河井 公大朗
    • Organizer
      日本数学会2017年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Frolicher-Nijenhuis bracket and cohomology on G2- and Spin(7)-manifolds2017

    • Author(s)
      河井 公大朗
    • Organizer
      第64回幾何学シンポジウム
    • Data Source
      KAKENHI-PROJECT-17K14181
  • [Presentation] Frolicher-Nijenhuis bracket and cohomology on G2-and Spin(7)-manifolds2017

    • Author(s)
      河井 公大朗
    • Organizer
      学習院大学トポロジーセミナー
    • Data Source
      KAKENHI-PROJECT-17K14181
  • 1.  山本 光
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 3 results

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