Naoe Hironobu 直江央寛

Researcher Number	10823255
Other IDs
Affiliation (Current)	2025: 東京科学大学, 理学院, 助教
Affiliation (based on the past Project Information) *help	2025: 東京科学大学, 理学院, 助教 2024: 中央大学, 理工学部, 共同研究員 2019 – 2023: 中央大学, 理工学部, 助教 2018: 東北大学, 理学研究科, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields Except Principal Investigator Basic Section 11020:Geometry-related / Geometry
Keywords	Principal Investigator ファイバー構造 / シャドウ複雑度 / 4次元多様体 / シャドウ / 低次元トポロジー / 接触構造 / シンプレクティック構造 / 曲面結び目 / 多面体 / バンド付き絡み目表示 … More / Kirby-Thompson 不変量 / 2次元結び目 / トライセクション種数 / トライセクション / ハンドル分解 / トポロジー / スパイン / ザイフェルトファイバー空間 / 結び目 / ファイバー束 / ３次元多様体 / 特異点論 / 結び目理論 / 微分構造 / レフシェッツファイバー空間 / ４次元多様体 … More Except Principal Investigator 強擬凸性 / Lefschetz fibration / カスプ特異点 / Anosov 流 / シンプレクティック構造 / 接触構造 / 葉層構造 / Poisson 構造 / 実解析的1次元微分同相 / Anosov 葉層 / Lagrangian fibration / turbulization / 尖点特異点 / Milnor fibre / 複素構造 / Milnor fiber / symplectic構造 / 3次元Anosov流 / Engel 構造 / シンプレクティック葉層構造 / ミルナー・ファイバー / ポアソン構造 / レフシェッツ・ファイブレーション Less

4次元多様体とその部分曲面および部分多面体に関する研究Principal Investigator
- Principal Investigator
  
  直江央寛
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Institute of Science Tokyo
力学的微分トポロジーによる葉層・接触・シンプレクティック構造の研究
- Principal Investigator
  
  三松佳彦
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Chuo University
シャドウによる3次元・4次元多様体の幾何構造の研究Principal Investigator
- Principal Investigator
  
  直江央寛
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Chuo University
Research on shadows and fibration structures of 4-manifoldsPrincipal Investigator
- Principal Investigator
  
  Naoe Hironobu
- Project Period (FY)
  2018 – 2019
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Chuo University
  Tohoku University
Foliations, contact structures, and symplectic structures on 3,4, and 5 dimensional manifolds
- Principal Investigator
  
  Mitsumatsu Yoshihiko
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Chuo University

All 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] Positive flow-spines and contact 3-manifolds2023
- Author(s)
  Ippei Ishii, Masaharu Ishikawa, Yuya Koda, Hironobu Naoe
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923 -)
  
  Volume: - Issue: 5 Pages: 2091-2126
- DOI
  10.1007/s10231-023-01314-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03499, KAKENHI-PROJECT-20K14316, KAKENHI-PROJECT-20K03588, KAKENHI-PROJECT-23H05437
[Journal Article] Positive flow-spines and contact 3-manifolds, II2023
- Author(s)
  Ishii Ippei、Ishikawa Masaharu、Koda Yuya、Naoe Hironobu
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923 -)
  
  Volume: － Issue: 3 Pages: 2091-2126
- DOI
  10.1007/s10231-023-01400-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14316, KAKENHI-PROJECT-19K03499, KAKENHI-PROJECT-20K03588, KAKENHI-PROJECT-23H05437, KAKENHI-PROJECT-23K20798
[Journal Article] Four-manifolds with shadow-complexity one2022
- Author(s)
  Koda Yuya、Martelli Bruno、Naoe Hironobu
- Journal Title
  
  Annales de la Faculte des sciences de Toulouse : Mathematiques
  
  Volume: 31 Issue: 4 Pages: 1111-1212
- DOI
  10.5802/afst.1715
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03588, KAKENHI-PROJECT-20K14316
[Journal Article] Corks with Large Shadow-Complexity and Exotic Four-Manifolds2021
- Author(s)
  Naoe Hironobu
- Journal Title
  
  Experimental Mathematics
  
  Volume: 30 Issue: 2 Pages: 157-171
- DOI
  10.1080/10586458.2018.1514332
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H02845, KAKENHI-PROJECT-20K14316
[Journal Article] Milnor fibration, A'Campo's divide and Turaev's shadow2020
- Author(s)
  Masaharu Ishikawa, Hironobu Naoe
- Journal Title
  
  the Proceedings of FJV2017 Kagoshima
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21019
[Journal Article] Shadows of acyclic 4-manifolds with sphere boundary2020
- Author(s)
  Yuya Koda, Hironobu Naoe
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 20 Issue: 7 Pages: 3707-3731
- DOI
  10.2140/agt.2020.20.3707
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03588, KAKENHI-PROJECT-20K14316, KAKENHI-PROJECT-17K05254, KAKENHI-PROJECT-17H02845
[Journal Article] Shadows of acyclic 4-manifolds with sphere boundary2020
- Author(s)
  Yuya Koda, Hironobu Naoe
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21019
[Journal Article] Milnor fibration, A’Campo’s divide and Turaev’s shadow2020
- Author(s)
  Ishikawa Masaharu、Naoe Hironobu
- Journal Title
  
  Singularities --- Kagoshima 2017
  
  Volume: - Pages: 71-93
- DOI
  10.1142/9789811206030_0005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadow-complexity and trisection genus2023
- Author(s)
  直江央寛
- Organizer
  Topology of Singularities and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadow-complexity and trisection genus2023
- Author(s)
  直江央寛
- Organizer
  Seminari di geometria
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadow-complexity and trisection genus2023
- Author(s)
  Hironobu Naoe
- Organizer
  Topology of Singularities and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20798
[Presentation] Shadow-complexity and trisection genus2023
- Author(s)
  Hironobu Naoe
- Organizer
  Seminari di geometria
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20798
[Presentation] Shadow-complexity and trisection genus2023
- Author(s)
  直江央寛
- Organizer
  結び目の数理 VI
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadow-complexity and trisection genus2023
- Author(s)
  直江央寛
- Organizer
  結ひ目の数理 VI
- Data Source
  KAKENHI-PROJECT-23K20798
[Presentation] Presentation of the fundamental groups of complements of shadows2022
- Author(s)
  直江央寛
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2022
- Invited
- Data Source
  KAKENHI-PROJECT-23K20798
[Presentation] Shadows of 2-knots and complexity2022
- Author(s)
  直江央寛
- Organizer
  北陸結び目セミナー 2022
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadows of 4-manifolds and 2-knots2022
- Author(s)
  直江央寛
- Organizer
  対称性と幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadows of 2-knots and complexity2022
- Author(s)
  直江央寛
- Organizer
  4 次元トポロジー
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Presentation of the fundamental groups of complements of shadows2022
- Author(s)
  直江央寛
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2022
- Invited
- Data Source
  KAKENHI-PROJECT-17H02845
[Presentation] Shadows and complexities of 2-knots2022
- Author(s)
  直江央寛
- Organizer
  拡大 KOOK セミナー 2022
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Presentation of the fundamental groups of complements of shadows2022
- Author(s)
  直江央寛
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2022
- Invited
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadows of 2-knots and complexity2022
- Author(s)
  直江央寛
- Organizer
  広島大学トポロジー・幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Some lower bounds for the Kirby-Thompson invariant2022
- Author(s)
  直江央寛
- Organizer
  東工大トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Positive flow-spines and contact 3-manifolds2021
- Author(s)
  石井一平，石川昌治，古宇田悠哉，直江央寛
- Organizer
  日本数学会 2021 年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Positive flow-spines and contact 3-manifolds2021
- Author(s)
  石井一平、石川昌治、古宇田悠哉、直江央寛
- Organizer
  日本数学会 2021 年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17H02845
[Presentation] Turaev’s shadows and Lefschetz fibrations2020
- Author(s)
  直江央寛
- Organizer
  離散幾何構造セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Turaev のシャドウとその複雑度2020
- Author(s)
  直江央寛
- Organizer
  N-KOOK セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Lefschetz fibrations of divides and shadows2020
- Author(s)
  直江央寛
- Organizer
  ひねる代数～Hurwitz actionとその周辺～
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] フロースパインと接触構造2020
- Author(s)
  直江央寛
- Organizer
  接触構造、特異点、微分方程式及びその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] 4次元多様体のシャドウとレフシェッツファイバー空間2020
- Author(s)
  直江央寛
- Organizer
  関東若手幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] フロースパインと接触構造 II2020
- Author(s)
  直江　央寛
- Organizer
  トポロジープロジェクト研究集会「接触構造、特異点、微分方程式及びその周辺」(静岡)
- Invited
- Data Source
  KAKENHI-PROJECT-17H02845
[Presentation] Turaev’s shadows and Lefschetz fibrations II2020
- Author(s)
  直江央寛
- Organizer
  離散幾何構造セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14316
[Presentation] Shadows of acyclic 4-manifolds with sphere boundary II2019
- Author(s)
  直江央寛
- Organizer
  ハンドルセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Lefschetz fibrations of divides and shadows2019
- Author(s)
  Hironobu Naoe
- Organizer
  東京大学 Hyper plane arrangements and Japanese Australian workshop on Real and Complex Singularities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02845
[Presentation] Shadows of acyclic 4-manifolds with sphere boundary2019
- Author(s)
  直江央寛
- Organizer
  北陸結び目セミナー2019
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Shadows of acyclic 4-manifolds with sphere boundary2019
- Author(s)
  直江央寛
- Organizer
  ハンドルセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Lefschetz fibrations of divides and shadows2019
- Author(s)
  直江央寛
- Organizer
  Hyper plane arrangements and Japanese Australian workshop on Real and Complex Singularities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] 2-knots in shadows of 4-manifolds2019
- Author(s)
  直江央寛
- Organizer
  Differential Topology 19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] 4次元ホモロジー球体の微分構造とシャドウ2019
- Author(s)
  直江央寛
- Organizer
  大阪大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Shadows and Milnor fibrations of divides2018
- Author(s)
  直江央寛
- Organizer
  Kyoto Young Topologists Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Shadows and Milnor fibrations of divides2018
- Author(s)
  直江央寛
- Organizer
  広島大学トポロジー・幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Closed 4-manifolds with shadow-complexity one2018
- Author(s)
  直江央寛
- Organizer
  Four Dimensional Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Lefschetz fibrations of divides and shadows2018
- Author(s)
  直江央寛
- Organizer
  The 6th Franco-Japanese-Vietnamese Symposium on Singularities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21019
[Presentation] Fibered links and Lefschetz fibrations of A’Campo’s divides via Turaev’s shadows2018
- Author(s)
  直江央寛
- Organizer
  東北結び目セミナー 2018
- Data Source
  KAKENHI-PROJECT-19K21019

1. Mitsumatsu Yoshihiko (70190725)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 高倉樹 (30268974)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. 三好重明 (60166212)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. 太田啓史 (50223839)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 粕谷直彦 (70757765)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. KODA Yuya

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
7. 石川昌治

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Naoe Hironobu 直江 央寛

Research Projects

Research Products

Co-Researchers

4次元多様体とその部分曲面および部分多面体に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

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力学的微分トポロジーによる葉層・接触・シンプレクティック構造の研究

Principal Investigator

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Research Institution

シャドウによる3次元・4次元多様体の幾何構造の研究Principal Investigator

Principal Investigator

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Review Section

Research Institution

Research on shadows and fibration structures of 4-manifoldsPrincipal Investigator

Principal Investigator

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Review Section

Research Institution

Foliations, contact structures, and symplectic structures on 3,4, and 5 dimensional manifolds

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Research Institution

[Journal Article] Positive flow-spines and contact 3-manifolds2023

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[Journal Article] Positive flow-spines and contact 3-manifolds, II2023

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[Journal Article] Four-manifolds with shadow-complexity one2022

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[Journal Article] Corks with Large Shadow-Complexity and Exotic Four-Manifolds2021

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[Journal Article] Milnor fibration, A'Campo's divide and Turaev's shadow2020

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[Journal Article] Shadows of acyclic 4-manifolds with sphere boundary2020

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[Journal Article] Shadows of acyclic 4-manifolds with sphere boundary2020

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[Journal Article] Milnor fibration, A’Campo’s divide and Turaev’s shadow2020

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[Presentation] Shadow-complexity and trisection genus2023

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[Presentation] Shadow-complexity and trisection genus2023

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Naoe Hironobu 直江央寛