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2010 Fiscal Year Final Research Report

Combinatorics of Fano varieties and its application to Sasaki-Einstein manifolds

Research Project

  • PDF
Project/Area Number 19540098
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionOsaka City University

Principal Investigator

HASHIMOTO Yoshitake  Osaka City University, 知識工学部, 教授 (20271182)

Co-Investigator(Kenkyū-buntansha) SAKAGUCHI Makoto  岡山光量子研究所, 研究員 (90382027)
OHBA Kiyoshi  お茶の水女子大学, 大学院・人間文化創成科学研究科, 准教授 (80242337)
YASUI Yukinori  大阪市立大学, 大学院・理学研究科, 准教授 (30191117)
NAKAI Hirofumi  東京都市大学, 知識工学部, 准教授 (80343739)
Project Period (FY) 2007 – 2010
Keywords微分幾何
Research Abstract

Construction of Golay codes and Witt designs based on Grothendieck's bi-icosahedrons applied to error-correcting codes in communication theory. Formulation of fusion products and factorization in conformal field theory of C2 finite vertex algebras, which describes interaction of quantum fields.

  • Research Products

    (23 results)

All 2011 2010 2009 2008 2007

All Journal Article (9 results) (of which Peer Reviewed: 7 results) Presentation (13 results) Book (1 results)

  • [Journal Article] ベクトル束とファイバー束2011

    • Author(s)
      橋本義武
    • Journal Title

      数理科学 574

      Pages: 15-20

  • [Journal Article] ヤン・ミルズ方程式と対称性2009

    • Author(s)
      橋本義武
    • Journal Title

      数理科学 549

      Pages: 45-50

  • [Journal Article] Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime2009

    • Author(s)
      T.Houri, T.Oota, Y.Yasui
    • Journal Title

      Class.Quant.Grav. 26

      Pages: 45015

    • Peer Reviewed
  • [Journal Article] Generalized Kerr-NUT-de Sitter metrics in all dimensions2008

    • Author(s)
      T.Houri, T.Oota, Y.Yasui
    • Journal Title

      Phys.Lett.B 666

      Pages: 391-394

    • Peer Reviewed
  • [Journal Article] Nonrelativistic string and D-branes on AdS_5×S^52007

    • Author(s)
      Sakaguchi M.; Yoshida K.
    • Journal Title

      J.High Energy Phys. 05

      Pages: 1-23

    • Peer Reviewed
  • [Journal Article] Intersecting noncommutative M5-branes from covariant open supermembrane2007

    • Author(s)
      Sakaguchi M.; Yoshida K.
    • Journal Title

      Nucl.Phys.B 781

      Pages: 85-98

    • Peer Reviewed
  • [Journal Article] New example of infinite family of quiver gauge theories2007

    • Author(s)
      Oota T.; Yasui Y.
    • Journal Title

      Nucl.Phys.B 762

      Pages: 377-391

    • Peer Reviewed
  • [Journal Article] Kerr-NUT-de Sitter curvature in all dimensioins2007

    • Author(s)
      Hamamoto N.; Houri T.; Oota T.; Yasui Y.
    • Journal Title

      J.Phys.A 40

      Pages: F177-F184

    • Peer Reviewed
  • [Journal Article] A short proof of Morley's theorem2007

    • Author(s)
      橋本義武
    • Journal Title

      Elem.Math. 62

      Pages: 121-121

    • Peer Reviewed
  • [Presentation] 頂点代数・共形場理論入門2011

    • Author(s)
      橋本義武
    • Organizer
      第5回GEOSOCKセミナー
    • Place of Presentation
      大阪市立大学文化交流センター
    • Year and Date
      2011-03-04
  • [Presentation] 頂点代数入門2011

    • Author(s)
      橋本義武
    • Organizer
      淡路島幾何学研究集会2011
    • Place of Presentation
      国民宿舎慶野松原荘
    • Year and Date
      2011-02-11
  • [Presentation] On C2-cofinte conformal field theory2010

    • Author(s)
      橋本義武
    • Organizer
      研究会「重力・幾何・素粒子」
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2010-09-29
  • [Presentation] 共形場理論の幾何2010

    • Author(s)
      橋本義武
    • Organizer
      第3回秋葉原微分幾何セミナー
    • Place of Presentation
      首都大学東京秋葉原サテライトキャンパス
    • Year and Date
      2010-07-10
  • [Presentation] 共形場理論の幾何学多様体の種々の幾何構造とその応用2010

    • Author(s)
      橋本義武
    • Place of Presentation
      名城大学
    • Year and Date
      2010-03-11
  • [Presentation] Combinatorial link Floer homologyについてI, II, III夏の学校「結び目とホモロジーおよびその周辺」2009

    • Author(s)
      橋本義武
    • Place of Presentation
      名古屋大学
    • Year and Date
      20090825-20090827
  • [Presentation] DG代数のモデル圏1,22009

    • Author(s)
      橋本義武
    • Organizer
      Workshop on derived algebraic geometry I.
    • Place of Presentation
      国際基督教大学
    • Year and Date
      2009-11-25
  • [Presentation] Triality and projective planes 微分・代数トポロジーの現在と未来2009

    • Author(s)
      橋本義武
    • Place of Presentation
      かんぽの宿徳島
    • Year and Date
      2009-11-10
  • [Presentation] Spin(8)のtrialityをめぐって2009

    • Author(s)
      橋本義武
    • Organizer
      幾何学阿蘇研究集会
    • Place of Presentation
      休暇村南阿蘇
    • Year and Date
      2009-09-14
  • [Presentation] On the signs of the combinatorial Heegaard-Floer complexes2009

    • Author(s)
      橋本義武
    • Organizer
      第4回代数・解析・幾何セミナー
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2009-02-17
  • [Presentation] 曲面のスピン構造をめぐって2008

    • Author(s)
      橋本義武
    • Organizer
      日本数学会2008年度秋季総合分科会トポロジー分科会
    • Place of Presentation
      東京工業大学(特別講演)
    • Year and Date
      2008-09-26
  • [Presentation] Non-commutative geometryブラックホール,佐々木・EinsteinそしてAdS/CFT 対応2008

    • Author(s)
      橋本義武
    • Place of Presentation
      湯原温泉米屋
    • Year and Date
      2008-02-16
  • [Presentation] Tilting sheaves and D-affinity2007

    • Author(s)
      橋本義武
    • Organizer
      研究集会「函館幾何セミナー」
    • Place of Presentation
      KKR函館
    • Year and Date
      2007-11-15
  • [Book] 現代幾何学の流れ2007

    • Author(s)
      橋本義武, ほか
    • Total Pages
      209-218
    • Publisher
      日本評論社

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Published: 2012-01-26   Modified: 2016-04-21  

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