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2008 Fiscal Year Self-evaluation Report

NEW DEP. OF GEOM. BASED ON TOP. FILD THEORY

Research Project

  • PDF
Project/Area Number 18104001
Research Category

Grant-in-Aid for Scientific Research (S)

Allocation TypeSingle-year Grants
Research Field Geometry
Research InstitutionKyoto University

Principal Investigator

FUKAYA Kenji  Kyoto University, 大学院・理学研究科, 教授 (30165261)

Project Period (FY) 2006 – 2010
Keywordsシンプレクティック多様体 / ミラ-対称性 / フレア-ホモロジ-
Research Abstract

シンプレクティック多様体のラグランジュ部分多様体のフレア-理論などで重要な,モジュライ空間による対応を元にした代数構造とそのホモトピ-代数の展開,また,その幾何学(シンプレクティック幾何学やミラ-対称性など)への応用などを行う.

  • Research Products

    (8 results)

All 2009 2008 2007 2006 Other

All Journal Article (7 results) (of which Peer Reviewed: 7 results) Remarks (1 results)

  • [Journal Article] Canonical models of filtered A^∞-algebras and Morse complexes to appear CRM2009

    • Author(s)
      K. Fukaya, Y.G.-Oh, H. Ohta, K. Ono
    • Journal Title

      Proceedings and Lecture Notes Volume 49(accepted)

    • Peer Reviewed
  • [Journal Article] The symplectic Geometry of Cotangent bundle from a Categorical Viewpoint2009

    • Author(s)
      K. Fukaya, P. Seidel, I. Smith
    • Journal Title

      Homological Mirror symmetry, Lectures notes in Physics 757

      Pages: 1-26

    • Peer Reviewed
  • [Journal Article] Exact Lagrangian submanifolds in simplly connected cotangent bundles2008

    • Author(s)
      K. Fukaya, P. Seidel, I. Smith
    • Journal Title

      Invent. Math 172

      Pages: 1-27

    • Peer Reviewed
  • [Journal Article] Instanton counting and Donaldson invariants. J. Differential Geom2008

    • Author(s)
      L. Gottsche, H. Nakajima, K. Yoshioka
    • Journal Title

      80 (2008), no. 3

      Pages: 343-390

    • Peer Reviewed
  • [Journal Article] Mod pdecompositions of non-simply connected Lie groups2008

    • Author(s)
      D. Kishimoto, A. Kono
    • Journal Title

      J. Math. Kyoto Univ 48

      Pages: 1-5

    • Peer Reviewed
  • [Journal Article] Loop space and holomorp hic disc -summary-2007

    • Author(s)
      K. Fukaya
    • Journal Title

      to appear in proceedings of ICCM 2007

    • Peer Reviewed
  • [Journal Article] Floer homo logy in symplectic geometry and in mirror symmetry2006

    • Author(s)
      Y.-G. Oh and K. Fukaya
    • Journal Title

      International Congress of Mathematicians(Eur. Math. Soc., Zurich) Vol.II

      Pages: 879-905

    • Peer Reviewed
  • [Remarks]

    • URL

      http://www.math.kyoto-u.ac.jp/~fu

URL: 

Published: 2010-06-11   Modified: 2016-04-21  

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