Kawai Kotaro 河井公大朗

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

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

Kawai Kotaro 河井 公大朗

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

Submanifolds with conical singularities in manifolds with special holonomyPrincipal Investigator

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

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[Journal Article] Deformation Theory of Deformed Hermitian Yang?Mills Connections and Deformed Donaldson?Thomas Connections2022

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[Journal Article] Almost formality of manifolds of low dimension2021

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[Journal Article] Deformation Theory of Deformed Donaldson?Thomas Connections for $${\text {Spin}(7)}$$-manifolds2021

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[Journal Article] The real Fourier?Mukai transform of Cayley cycles2021

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[Journal Article] Conformal transformations of the pseudo‐Riemannian metric of a homogeneous pair2020

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DOI

Data Source

[Journal Article] Frolicher-Nijenhuis Bracket on Manifolds with Special Holonomy2020

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[Journal Article] Second-Order deformations of associative submanifolds in nearly parallel G2-manifolds2018

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[Journal Article] Frolicher-Nijenhuis cohomology on G2- and Spin(7)-manifolds2018

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[Journal Article] The Frolicher-Nijenhuis bracket and the geometry of G2- and Spin(7)-manifolds2018

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[Presentation] Introduction to mirror of submanifolds2024

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[Presentation] Mirror of minimal submanifolds and a monotonicity formula2024

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[Presentation] Manifolds with exceptional holonomy and mirrors of their submanifolds2024

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[Presentation] Mirror of minimal submanifolds and a monotonicity formula2024

Kawai Kotaro 河井公大朗