FUKUMOTO Yoshihiro 福本善洋

… Alternative Names

Fukumoto Yoshihiro 福本善洋

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Researcher Number	90341073
Other IDs
Affiliation (Current)	2025: 立命館大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2018 – 2023: 立命館大学, 理工学部, 教授 2012 – 2016: 立命館大学, 理工学部, 教授 2009 – 2011: Ritsumeikan University, 理工学部, 准教授 2007 – 2008: Tottori University of Environmental Studies, 環境情報学部, 准教授 2006: 鳥取環境大学, 環境情報学部情報システム学科, 准教授 … More 2004 – 2005: 鳥取環境大学, 環境情報学部, 助教授 2003: 鳥取環境大学, 環境情報学部・情報システム学科, 助教授 2002: 鳥取環境大学, 環境情報学部情報システム学科, 講師 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related / Geometry
Keywords	Principal Investigator 指数定理 / ホモロジー同境 / Seiberg-Witten理論 / V-多様体 / 平坦接続 / ホモロジー同境群 / bounding genus / 有理ホモロジー球面 / 結び目 / 同境圏 … More / ゲージ理論 / Donaldson理論 / Neumann-Siebenmann不変量 / 有理ホモロジー3球面 / スプライシング / 4次元軌道体 / レンズ空間 / インスタントン / 負定値同境 / チャーン・サイモンズ不変量 / 指標多様体 / 3次元多様体 / Fourier-Dedekind和 / 楕円種数 / Dirac作用素 / ４次元軌道体 / ホモロジー同境不変量 / 軌道体の一意化 / 軌道体 / ドナルドソン理論 / 有理ホモロジー同境 / ザイバーグ・ウィッテン・モノポール / 一意化 / モジュライ空間 / Chern-Simons不変量 / 非結合的代数 / 基本群 / 低次元多様体 / オービフォルド / 非結合代数 / ホモロジー環 / 族の指数定理 / 二次特性類 / ディラック作用素 / ホモロジー球面 / グラフ多様体 / 交叉理論 / Vー多様体 / ホモロジーコボルディズム / スピンコボルディズム / エータ不変量 / Dedekind和 / 楕円コホモロジー / 重み付き複素射影空間 / トーラス多様体 / 符号数不足指数 Less

Research Projects
(8 results)
Research Products
(54 results)

Uniformization of 4-orbifolds and gauge theoryPrincipal Investigator
- Principal Investigator
  
  福本善洋
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Ritsumeikan University
Moduli spaces of flat connections and uniformization of 4-orbifoldsPrincipal Investigator
- Principal Investigator
  
  Fukumoto Yoshihiro
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Ritsumeikan University
Cobordism category of 3-manifolds and analysis on moduli spaces of flat connectionsPrincipal Investigator
- Principal Investigator
  
  Fukumoto Yoshihiro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ritsumeikan University
Structures of homology cobordism invariants in the cobordism category of 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  FUKUMOTO Yoshihiro
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ritsumeikan University
Framed cobordism invariant of V-manifolds and its application to the cobordism category of 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  FUKUMOTO Yoshihiro
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tottori University of Environmental Studies
軌道体におけるゲージ理論のホモロジースピン同境不変量への応用Principal Investigator
- Principal Investigator
  
  福本善洋
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tottori University of Environmental Studies
トーラスV-多様体の同変楕円コホモロジーと符号数不足指数型不変量の組合わせ論Principal Investigator
- Principal Investigator
  
  福本善洋
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tottori University of Environmental Studies
V-多様体の同変楕円コホモロジーと楕円種数の剛性Principal Investigator
- Principal Investigator
  
  福本善洋
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tottori University of Environmental Studies

[Journal Article] On negative-definite cobordisms among lens spaces of type (m,1) and uniformization of four-orbifolds2019
- Author(s)
  Yoshihiro Fukumoto
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03289
[Journal Article] Traceless SU(2) representations of 2-stranded tangles2016
- Author(s)
  Yoshihiro Fukumoto, Paul Kirk, Juanita Pinzon-Caicedo
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society
  
  Volume: in press
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400101
[Journal Article] w-Invariants and Fintushel-Stern invariants for Plumbed Homology 3-Spheres2011
- Author(s)
  Y. Fukumoto
- Journal Title
  
  Experimental Math
  
  Volume: 20(1) Pages: 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540113
[Journal Article] w-Invariants and Fintushel-Stern invariants for Plumbed Homology 3-Spheres2011
- Author(s)
  Y. Fukumoto
- Journal Title
  
  Experimental Math.
  
  Volume: 20 (1) Pages: 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540113
[Journal Article] w-Invariants and the Fintushel.Stern Invariants for Plumbed Homology 3-Spheres2011
- Author(s)
  Y.Fukumoto
- Journal Title
  
  Experimental Mathematics 20(1)
  
  Pages: 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] Bounding Genus and the Spin Cobordism Category of 3-manifolds2010
- Author(s)
  Yoshihiro Fukumoto
- Journal Title
  
  International Congress of Mathematicians Hyderabad, August 19-27, 2010 Abstracts Short Communications Posters
  
  Pages: 159-160
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] W-invariants and the Fintushel-Stern invariants for plumbed homology 3-spheres2010
- Author(s)
  福本善洋
- Journal Title
  
  Experimental Mathematics(To appear) (印刷中(掲載決定))
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] Bounding Genus and the Spin Cobordism Category of 3-manifolds2010
- Author(s)
  Y.Fukumoto
- Journal Title
  
  INTERNATIONAL CONGRESS OF MATHEMATICIANS Hyderabad 2010 ABSTRACTS Short Communications, Hindustan Book Agency
  
  Pages: 159-160
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] Bounding genus と3次元多様体の同境圏2009
- Author(s)
  福本善洋
- Journal Title
  
  2009日本数学会秋期総合分科会トポロジー分科会講演アブストラクト
  
  Pages: 86-87
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] Cobordism category of plumbed 3-manifolds and intersection product structures2009
- Author(s)
  Y.Fukumoto
- Journal Title
  
  Journal of Homotopy and Related Structures Vol.4, No.1
  
  Pages: 39-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] The bounding genera and w-invariants2009
- Author(s)
  福本善洋
- Journal Title
  
  Proc. Amer. Math. Soc. 137
  
  Pages: 1509-1517
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] The bounding genera and w-invariants2009
- Author(s)
  Y.Fukumoto
- Journal Title
  
  Proc.Amer.Math.Soc. 137
  
  Pages: 1509-1517
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] A cancellation formula o£ Alvarez-Gaume and Witten and a signature defect-type invariant of 11-dimensional Jens spaces and spin structures2008
- Author(s)
  Yoshihiro Fukumoto
- Journal Title
  
  Pacific Journal of Mathematics 235・2
  
  Pages: 213234-213234
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740039
[Journal Article] On the reciprocity law of the Fourier-Dedekind sums2006
- Author(s)
  Yoshihiro FUKUMOTO
- Journal Title
  
  INTERNATIONAL CONGRESS OF MATHETITIANS MADRID 2006 ABSTRACTS European Mathematical Society
  
  Pages: 292-293
- Data Source
  KAKENHI-PROJECT-18740039
[Journal Article] 第1ベッチ数が正の場合の10/8-不等式と3次元多様体のホモロジー・スピン同境不変量2006
- Author(s)
  福本善洋
- Journal Title
  
  日本数学会2006年度年会トポロジー分科会講演アブストラクト
  
  Pages: 67-68
- Data Source
  KAKENHI-PROJECT-16740040
[Journal Article] The index of the spin-c Dirac operator on the weighted projective space and the reciprocity law of the Fourier-Dedekind sum2005
- Author(s)
  福本善洋
- Journal Title
  
  Journal of Mathematical Analysis and Applications 309
  
  Pages: 674-685
- Data Source
  KAKENHI-PROJECT-16740040
[Journal Article] Bounding genusと3次元多様体の同境圏
- Author(s)
  福本善洋
- Journal Title
  
  2009日本数学会秋期総合分科会トポロジー分科会講演アブストラクト
  
  Pages: 86-87
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] Cobordism category of plumbed 3-manifolds and intersection product structures
- Author(s)
  福本善洋
- Journal Title
  
  Journal of Homotopy and Related Structures (Accecpted)(掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] Bounding genusとw-不変量
- Author(s)
  福本善洋
- Journal Title
  
  日本数学会2008年度年会トポロジー分科会講演アブストラクト
  
  Pages: 28-29
- Data Source
  KAKENHI-PROJECT-20740048
[Journal Article] The index of the spin-c Dirac operator on the weighted projective space and the reciprocity law of the Fourier-Dedekind sum
- Author(s)
  福本善洋
- Journal Title
  
  Journal of Mathematical Analysis and Applications (Accepted)
- Data Source
  KAKENHI-PROJECT-16740040
[Presentation] 4次元軌道体のゲージ理論とその応用2021
- Author(s)
  福本善洋
- Organizer
  京都大学大学院理学研究科数学教室談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03289
[Presentation] インスタントン・モジュライ空間の向きづけ可能性2021
- Author(s)
  福本善洋
- Organizer
  微分トポロジー'21
- Invited
- Data Source
  KAKENHI-PROJECT-18K03289
[Presentation] Bubbles, Orbifold metric and connections, Orienting moduli spaces2021
- Author(s)
  福本善洋
- Organizer
  勉強会「特異インスタントンとKhovanovホモロジー」
- Invited
- Data Source
  KAKENHI-PROJECT-18K03289
[Presentation] 有理ホモロジー3球面のbounding genusと結び目のコンコーダンス2020
- Author(s)
  福本善洋
- Organizer
  微分トポロジー'20
- Invited
- Data Source
  KAKENHI-PROJECT-18K03289
[Presentation] オービフォルド上のインスタントン・モジュライ空間の向きについて2020
- Author(s)
  福本善洋
- Organizer
  4-Dimensional Topology and Gauge Theory
- Invited
- Data Source
  KAKENHI-PROJECT-18K03289
[Presentation] Instantons and uniformization of orbifolds2018
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  East Asian Conference on Gauge theory and Related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03289
[Presentation] レンズ空間の間の負定値同境とホモロジー同境群2016
- Author(s)
  福本善洋
- Organizer
  関西ゲージ理論セミナー
- Place of Presentation
  京都大学（京都府京都市）
- Year and Date
  2016-11-12
- Data Source
  KAKENHI-PROJECT-26400101
[Presentation] レンズ空間の間の負定値同境におけるインスタントン2016
- Author(s)
  福本善洋
- Organizer
  数理情報科学談話会
- Place of Presentation
  鹿児島大学（鹿児島県鹿児島市）
- Year and Date
  2016-11-30
- Invited
- Data Source
  KAKENHI-PROJECT-26400101
[Presentation] On negative-definite cobordisms from lens spaces to rational homology 3-spheres2015
- Author(s)
  福本善洋
- Organizer
  微分トポロジーセミナー
- Place of Presentation
  京都大学（京都府）
- Year and Date
  2015-10-20
- Invited
- Data Source
  KAKENHI-PROJECT-26400101
[Presentation] レンズ空間から有理ホモロジー球面への負定値同境について2015
- Author(s)
  福本善洋
- Organizer
  微分トポロジー１５～微分トポロジーの過去・現在・未来～
- Place of Presentation
  京都大学（京都府）
- Year and Date
  2015-03-26
- Invited
- Data Source
  KAKENHI-PROJECT-26400101
[Presentation] 10/8-inequality and plumbed rational homology 3-spheres2014
- Author(s)
  Y. Fukumoto
- Organizer
  Algebraic Topology Seminar
- Place of Presentation
  University of Warsaw, Warsaw, Poland
- Year and Date
  2014-03-26
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Bounding genus と Neumann-Siebenmann 不変量2014
- Author(s)
  福本善洋
- Organizer
  学習院大学トポロジーセミナー
- Place of Presentation
  学習院大学（東京都）
- Year and Date
  2014-11-26
- Data Source
  KAKENHI-PROJECT-26400101
[Presentation] Furuta's 10/8 theorem2013
- Author(s)
  Y. Fukumoto
- Organizer
  Topology Seminar
- Place of Presentation
  Indiana University, Bloomington, USA
- Year and Date
  2013-05-01
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] On negative-definite cobordisms among lens spaces and instantons2013
- Author(s)
  Y. Fukumoto
- Organizer
  USC Geometry and Topology Seminar
- Place of Presentation
  University of Southern California, Los Angeles, USA
- Year and Date
  2013-09-09
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Cobordism among lens spaces and instantons2013
- Author(s)
  Y. Fukumoto
- Organizer
  Geometry and Physics Seminar
- Place of Presentation
  University of Miami, Coral Gables, USA
- Year and Date
  2013-02-20
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] レンズ空間の間の負定値同境について(古田幹雄氏(東京大学)との共同研究)2013
- Author(s)
  福本善洋, 古田幹雄
- Organizer
  研究集会「4次元トポロジー」
- Place of Presentation
  広島大学, 広島県
- Year and Date
  2013-11-15
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] On negative-definite cobordisms among lens spaces and instantons2013
- Author(s)
  Y. Fukumoto
- Organizer
  MSU Topology Seminar
- Place of Presentation
  Michigan State University, East Lansing, USA
- Year and Date
  2013-09-04
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Cobordisms of lens spaces2012
- Author(s)
  Y. Fukumoto
- Organizer
  Topology Seminar
- Place of Presentation
  Indiana University, Bloomington, USA
- Year and Date
  2012-11-07
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Bounding Genus and the Spin Cobordism Category of 3-manifolds2010
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  International Congress of Mathematicians Hyderabad, India, 19-27 August 2010
- Place of Presentation
  Hyderabad, India
- Year and Date
  2010-08-22
- Data Source
  KAKENHI-PROJECT-20740048
[Presentation] Bounding Genus and the Spin Cobordism Category of 3-manifolds2010
- Author(s)
  Y.Fukumoto
- Organizer
  INTERNATIONAL CONGRESS OF MATHEMATICIANS Hyderabad
- Place of Presentation
  Hyderabad International Convention Centre, Hyderabad, India.
- Year and Date
  2010-08-22
- Data Source
  KAKENHI-PROJECT-20740048
[Presentation] Bounding genusと3次元多様体の同境圏2009
- Author(s)
  福本善洋
- Organizer
  2009日本数学会秋期総合分科会
- Place of Presentation
  大阪大学豊中キャンパス(大阪府)
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-20740048
[Presentation] Bounding genus と3次元多様体の同境圏2009
- Author(s)
  福本善洋
- Organizer
  2009日本数学会秋期総合分科会
- Place of Presentation
  大阪大学豊中キャンパス(大阪府)
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-20740048
[Presentation] 多様体の同境圏と交叉積構造について2009
- Author(s)
  福本善洋
- Organizer
  代数,論理,幾何と情報科学研究集会(ALGI20)
- Place of Presentation
  鳥取環境大学(鳥取県)
- Year and Date
  2009-09-14
- Data Source
  KAKENHI-PROJECT-20740048
[Presentation] Bounding genusとw-不変量2008
- Author(s)
  福本善洋
- Organizer
  日本数学会2008年度年会トポロジー分科会
- Place of Presentation
  近畿大学
- Data Source
  KAKENHI-PROJECT-18740039
[Presentation] Bounding genusとw-不変量2008
- Author(s)
  福本善洋
- Organizer
  日本数学会2008年度年会トポロジー分科会
- Place of Presentation
  近畿大学本部キャンパス(大阪府)
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-20740048
[Presentation] Brieskornホモロジー球面の幾つかの無限族に対するBounding genusについて2008
- Author(s)
  福本善洋
- Organizer
  Friday seminar on knot theory
- Place of Presentation
  大阪市立大学数学第3セミナー室(3153)
- Year and Date
  2008-10-24
- Data Source
  KAKENHI-PROJECT-20740048
[Presentation] On negative-definite cobordisms among lens spaces and instantons
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  MSU Topology Seminar
- Place of Presentation
  Michigan State University, East Lansing, U.S.A.
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Cobordisms of lens spaces
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  Topology Seminar
- Place of Presentation
  Bloomington(USA)
- Invited
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Cobordism among lens spaces and instantons
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  Geometry and Physics Seminar
- Place of Presentation
  Coral Gables(USA)
- Invited
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] On negative-definite cobordisms among lens spaces and instantons
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  USC Geometry and Topology Seminar
- Place of Presentation
  University of Southern California, Los Angeles, U.S.A.
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Furuta's 10/8 theorem
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  Topology Seminar
- Place of Presentation
  Bloomington(USA)
- Invited
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] Furuta’s 10/8 theorem
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  Topology Seminar
- Place of Presentation
  Indiana University, Bloomington, U.S.A.
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] レンズ空間の間の負定値同境について (古田幹雄氏(東京大学)との共同研究)
- Author(s)
  福本善洋
- Organizer
  研究集会「４次元トポロジー」
- Place of Presentation
  広島大学（広島県）
- Data Source
  KAKENHI-PROJECT-23540113
[Presentation] 10/8-inequality and plumbed rational homology 3-spheres
- Author(s)
  Yoshihiro Fukumoto
- Organizer
  Algebraic Topology Seminar
- Place of Presentation
  University of Warsaw, Warsaw, Poland
- Data Source
  KAKENHI-PROJECT-23540113

FUKUMOTO Yoshihiro 福本 善洋

Fukumoto Yoshihiro 福本 善洋

Research Projects

Research Products

Uniformization of 4-orbifolds and gauge theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Moduli spaces of flat connections and uniformization of 4-orbifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Cobordism category of 3-manifolds and analysis on moduli spaces of flat connectionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Structures of homology cobordism invariants in the cobordism category of 3-manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Framed cobordism invariant of V-manifolds and its application to the cobordism category of 3-manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

軌道体におけるゲージ理論のホモロジースピン同境不変量への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

トーラスV-多様体の同変楕円コホモロジーと符号数不足指数型不変量の組合わせ論Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

V-多様体の同変楕円コホモロジーと楕円種数の剛性Principal Investigator

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[Journal Article] On negative-definite cobordisms among lens spaces of type (m,1) and uniformization of four-orbifolds2019

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[Journal Article] Traceless SU(2) representations of 2-stranded tangles2016

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[Journal Article] w-Invariants and Fintushel-Stern invariants for Plumbed Homology 3-Spheres2011

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[Journal Article] w-Invariants and Fintushel-Stern invariants for Plumbed Homology 3-Spheres2011

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[Journal Article] w-Invariants and the Fintushel.Stern Invariants for Plumbed Homology 3-Spheres2011

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[Journal Article] Bounding Genus and the Spin Cobordism Category of 3-manifolds2010

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[Journal Article] W-invariants and the Fintushel-Stern invariants for plumbed homology 3-spheres2010

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FUKUMOTO Yoshihiro 福本善洋

Fukumoto Yoshihiro 福本善洋