Updated on 2024/02/01

写真a

 
NAOE Hironobu
 
Organization
Faculty of Science and Engineering Research Associate
Contact information
The inquiry by e-mail is 《here
External link

Degree

  • 博士(理学) ( 東北大学 )

  • 修士(理学) ( 東北大学 )

Education

  • 2018.3
     

    Tohoku University   doctor course   completed

  • 2015.3
     

    Tohoku University   master course   completed

  • 2013.3
     

    Tohoku University   graduated

Research History

  • 2019.4 -  

    中央大学理工学部助教

  • 2018.4 -  

    東北大学大学院理学研究科数学専攻助教

Professional Memberships

  • 日本数学会

Research Interests

  • Lefschetz fibration

  • Topology

  • Turaev のシャドウ

  • 4次元多様体

Research Areas

  • Natural Science / Geometry  / Geometry

Papers

  • Four-manifolds with shadow-complexity one Reviewed

    Yuya Koda, Bruno Martelli, Hironobu Naoe

    Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6   31 ( 4 )   1111 - 1212   2022

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  • Corks with large shadow-complexity and exotic 4-manifolds Reviewed

    Hironobu Naoe

    Experimental Mathematics   30 ( 2 )   157 - 171   2021

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/10586458.2018.1514332

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  • Shadows of acyclic 4-manifolds with sphere boundary Reviewed

    Yuya Koda, Hironobu Naoe

    Algebraic & Geometric Topology   20 ( 7 )   3707 - 3731   2020

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  • Milnor fibration, A’Campo’s divide and Turaev’s shadow, Singularities Reviewed

    Masaharu Ishikawa, Hironobu Naoe

    Singularities ― Kagoshima 2017, Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities   71 - 93   2020

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  • Mazur manifolds and corks with small shadow complexities Reviewed

    Hironobu Naoe

    Osaka Journal of Mathematics   55 ( 3 )   479 - 498   2018

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  • SHADOWS OF 4-MANIFOLDS WITH COMPLEXITY ZERO AND POLYHEDRAL COLLAPSING Reviewed

    Hironobu Naoe

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   145 ( 10 )   4561 - 4572   2017.10

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:AMER MATHEMATICAL SOC  

    Our purpose is to classify acyclic 4-manifolds having shadow complexity zero. In this paper, we focus on simple polyhedra and discuss this problem combinatorially. We consider a shadowed polyhedron X and a simple polyhedron X-0 that is obtained by collapsing from X. Then we prove that there exists a canonical way to equip internal regions of X-0 with gleams so that two 4-manifolds reconstructed from X-0 and X are diffeomorphic. We also show that any acyclic simple polyhedron whose singular set is a union of circles can collapse onto a disk. As a consequence of these results, we prove that any acyclic 4-manifold having shadow complexity zero with boundary is diffeomorphic to a 4-ball.

    DOI: 10.1090/proc/13595

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Presentations

  • Shadows of 4-manifolds and 2-knots Invited

    直江央寛

    対称性と幾何セミナー  2022.12 

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  • Some lower bounds for the Kirby-Thompson invariant Invited

    直江央寛

    東工大トポロジーセミナー  2022.12 

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  • Shadows of 2-knots and complexity Invited

    直江央寛

    広島大学 トポロジー・幾何セミナー  2022.11 

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  • Shadows of 2-knots and complexity

    直江央寛

    4次元トポロジー  2022.11 

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  • Shadows of 2-knots and complexity

    直江央寛

    北陸結び目セミナー 2022  2022.9 

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  • Shadows and complexities of 2-knots

    直江央寛

    拡大 KOOK セミナー 2022  2022.9 

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  • Presentation of the fundamental groups of complements of shadows

    直江央寛

    Branched Cover- ings, Degenerations, and Related Topics 2022  2022.3 

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  • Positive flow-spines and contact 3-manifolds

    直江央寛

    日本数学会 2021 年度秋季総合分科会  2021.9 

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  • Turaev のシャドウとその複雑度 Invited

    直江央寛

    N-KOOKセミナー  2020.11 

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  • Turaev's shadows and Lefschetz fibrations II Invited

    直江央寛

    北海道大学 離散幾何構造セミナー  2020.10 

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  • Turaev's shadows and Lefschetz fibrations Invited

    直江央寛

    北海道大学 離散幾何構造セミナー  2020.10 

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  • 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 Invited

    直江央寛

    関東若手幾何セミナー  ( 中央大学 )   2020.2 

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  • フロースパインと接触構造 Invited

    直江央寛

    接触構造、特異点、微分方程式及びその周辺  2020.1 

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  • Lefschetz fibrations of divides and shadows Invited

    直江央寛

    ひねる代数~Hurwitz actionとその周辺~  2020.1 

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  • Lefschetz fibrations of divides and shadows International conference

    Hironobu Naoe

    Hyper plane arrangements and Japanese Australian workshop on Real and Complex Singularities  2019.12 

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    Language:English   Presentation type:Poster presentation  

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  • 4次元ホモロジー球体の微分構造とシャドウ Invited

    大阪大学トポロジーセミナー  2019.10 

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  • Shadows of acyclic 4-manifolds with sphere boundary

    北陸結び目セミナー2019  2019.10 

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  • Shadows of acyclic 4-manifolds with sphere boundary II

    直江央寛

    ハンドルセミナー  ( 東京大学 (東京) )   2019.7 

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  • Shadows of acyclic 4-manifolds with sphere boundary

    直江央寛

    ハンドルセミナー  ( 東京大学 (東京) )   2019.6 

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  • 2-knots in shadows of 4-manifolds Invited International conference

    Hironobu Naoe

    Differential Topology 19  ( 立命館大学 (東京) )   2019.3 

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  • Shadows and Milnor fibrations of divides Invited

    直江央寛

    Kyoto Young Topologists Seminar  ( 京都大学 (京都市) )   2018.12 

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  • Shadows and Milnor fibrations of divides

    直江央寛

    広島大学 トポロジー・幾何セミナー  ( 広島大学 (東広島市) )   2018.11 

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  • Fibered links and Lefschetz fibrations of A’Campo’s divides via Turaev’s shadows

    直江央寛

    東北結び目セミナー 2018  ( カレッジプラザ (秋田市) )   2018.10 

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  • Lefschetz fibrations of divides and shadows International conference

    Hironobu Naoe

    The 6th Franco-Japanese-Vietnamese Symposium on Singularities  ( Khanh Hoa 大学 (ベトナム) )   2018.9 

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  • Closed 4-manifolds with shadow-complexity one International conference

    Hironobu Naoe

    Four Dimensional Topology  ( 大阪市立大学 (大阪市) )   2018.9 

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  • Lefschetz fibrations of divides and shadows Invited

    東京女子大学トポロジーセミナー  ( 東京女子大学 (東京) )   2018.7 

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  • 閉4次元多様体のシャドウ複雑度 Invited

    直江央寛

    東北大学 談話会  ( 東北大学 (仙台市) )   2018.7 

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  • Infinitely many corks having large shadow-complexities

    直江

    日本数学会 2018 年度年会  ( 東京大学 (東京) )   2018.3 

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  • Shadow-complexity of corks and exotic pairs of 4-manifolds Invited International conference

    Hironobu Naoe

    Branched Coverings, Degenerations, and Related Topics 2018  ( 広島大学 (東広島市) )   2018.3 

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  • Large shadow-complexity of corks International conference

    Hironobu Naoe

    The 13th East Asian School of Knots and Related Topics  ( KAIST (韓国) )   2018.1 

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  • Small and large shadow-complexities of corks and exotic 4-manifolds Invited

    直江央寛

    大阪大学4次元トポロジーセミナー  ( 大阪大学 (豊中市) )   2017.12 

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  • Infinite family of corks having large shadow-complexity

    直江央寛

    4次元トポロジー  ( 大阪市立大学 (大阪市) )   2017.11 

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  • On corks with low shadow-complexity Invited

    Hironobu Naoe

    Seminari di geometria  ( ピサ大学 (イタリア) )   2017.10 

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  • On corks having large shadow-complexity

    直江央寛

    東北結び目セミナー2017  ( 山形大学 (山形市) )   2017.9 

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  • Corks and their shadow complexities

    直江央寛

    日本数学会2017年度秋季総合分科会  ( 山形大学 (山形市) )   2017.9 

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  • On corks with low shadow complexity

    直江央寛

    拡大KOOKセミナー2017  ( 大阪工業大学 (大阪市) )   2017.8 

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  • Shadow complexity が2以下のコルクについて

    直江央寛

    広島大学 トポロジー・幾何セミナー  ( 広島大学 (東広島市) )   2017.7 

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  • On corks with low shadow complexity International conference

    Hironobu Naoe

    Branched Coverings, Degenerations, and Related Topics 2017  ( 東北学院大学 (多賀城市) )   2017.3 

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  • The acyclic 4-manifolds with shadow complexity zero International conference

    Hironobu Naoe

    The 12th East Asian School of Knots and Related Topics  ( 東京大学 (東京) )   2017.2 

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  • Homology 4-balls with complexity zero and collapsing of shadows

    直江央寛

    結び目の数学 IX  ( 日本大学 (東京) )   2016.12 

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  • Acyclic 4-manifolds with shadow complexity zero and polyhedral collapsing

    Hironobu Naoe

    Mini-Workshop on 3- and 4-manifolds  ( 東北大学 (仙台市) )   2016.11 

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  • On homology 4-balls with shadow complexity zero

    直江央寛

    4次元トポロジー  ( 大阪市立大学 (大阪市) )   2016.11 

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  • Acyclic 4-manifolds with shadow complexity zero and polyhedral collapsing

    東北結び目セミナー2016  ( 東北大学 (仙台市) )   2016.10 

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  • Shadow complexity 0 の非輪状4次元多様体について Invited

    直江央寛

    ハンドルセミナー  ( 東京工業大学 (東京) )   2016.9 

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  • Shadow から構成されるコルクと shadow complexity

    直江央寛

    Summer Workshop 2016 & Knotting Nagoya on Low-Dimensional Topology and its Ramifications  ( 名城大学 (名古屋市) )   2016.6 

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  • Exotic な微分構造と shadow から構成するコルク

    第9回東北大学大学院理学研究科6専攻合同シンポジウム  ( 東北大学 (仙台市) )   2016.2 

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  • Infinitely many corks with special shadow complexity one International conference

    Hironobu Naoe

    The 11th East Asian School of Knots and Related Topics  ( 大阪市立大学 (大阪市) )   2016.1 

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  • Infinitely many corks with special shadow complexity one Invited International conference

    Hironobu Naoe

    2016 East Asian Core Doctorial Forum on Mathematics  ( 復旦大学 (中国) )   2016.1 

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  • Infinitely many corks with special shadow complexity one

    直江央寛

    結び目の数学 VIII  ( 早稲田大学 (東京) )   2015.12 

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  • Infinitely many corks with special shadow complexity one

    直江央寛

    4次元トポロジー  ( 大阪市立大学 (大阪市) )   2015.11 

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  • Infinitely many corks with special shadow complexity one

    直江央寛

    4次元トポロジー  ( 大阪市立大学 (大阪市) )   2015.11 

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  • Infinitely many corks with special shadow complexity one

    東北大学 幾何セミナー  ( 東北大学 幾何セミナー )   2015.11 

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  • Infinitely many corks with shadow complexity one Invited International conference

    Hironobu Naoe

    Topology and Geometry of Low-dimensional Manifolds  ( 奈良女子大 (奈良市) )   2015.10 

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  • Shadow complexity 1 をもつ無限個のコルクの族

    直江央寛

    東北結び目セミナー2015  ( 山形市保健センター (山形市) )   2015.10 

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  • Shadow から構成される cork と shadow complexity Invited

    直江央寛

    特異点と多様体の幾何学VI  ( 草津セミナーハウス (吾妻郡草津町) )   2015.9 

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  • Corks with shadow complexity one

    Hironobu Naoe

    Friday Seminar on Knot Theory  ( 大阪市立大学 (大阪市) )   2015.7 

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  • シャドウによる無限個の Mazur 多様体および cork の構成

    直江央寛

    第 8 回 東北大学大学院理学研究科 6 専攻合同シンポジウム  ( 東北大学 (仙台市) )   2015.2 

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  • Shadow による Mazur manifold の構成

    直江央寛

    東北大学 幾何セミナー  ( 東北大学 (仙台市) )   2014.11 

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  • Turaev のシャドー

    トポロジー新人セミナー2014  ( さんさ亭 (刈田郡蔵王町) )   2014.7 

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Awards

  • 東北大学 総長賞

    2018.3  

  • 青葉理学振興会 振興会賞

    2018.2  

  • 川井数理科学財団 修士論文川井賞

    2015.2  

Research Projects

  • 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

    Grant number:21H00985  2021.4 - 2026.3

    日本学術振興会  科学研究費助成事業  基盤研究(B)  中央大学

    三松 佳彦, 直江 央寛, 高倉 樹, 太田 啓史, 三好 重明, 粕谷 直彦

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    Grant amount: \10270000 ( Direct Cost: \7900000 、 Indirect Cost: \2370000 )

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  • シャドウによる3次元・4次元多様体の幾何構造の研究

    2020.4 - 2024.3

    若手研究 

    直江央寛

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    Grant type:Competitive

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

    Grant number:17H02845  2017.4 - 2021.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)  Chuo University

    Mitsumatsu Yoshihiko

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    Grant amount: \9490000 ( Direct Cost: \7300000 、 Indirect Cost: \2190000 )

    Based on the construction of Lefschetz fibrations and the existence of Anosov systems, we explained the structures of certain closed symplectic 4-manifolds and the regular Poisson structures on the 5-sphere. It also yields that the foliation on the 5-sphere constructed by Lawson is understood as a foliated Lefschetz fibration over the Reeb foliation on the 3-sphere.

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  • 4次元多様体のシャドウとファイバー構造に関する研究

    2018.8 - 2020.3

    研究活動スタート支援 

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    Grant type:Competitive

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  • シャドウによる4次元多様体のエキゾチック微分構造に関する研究

    2017.4 - 2018.3

    特別研究員奨励費 

    直江央寛

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    Authorship:Principal investigator  Grant type:Competitive

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