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2008 Fiscal Year Self-evaluation Report

Algebraic Topology and its Geometric Applications

Research Project

  • PDF
Project/Area Number 18340016
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionKyoto University

Principal Investigator

KONO Akira  Kyoto University, 大学院・理学研究科, 教授 (00093237)

Project Period (FY) 2006 – 2009
Keywordsリ-群 / 分類空間 / K理論 / 写像空間 / ゲ-ジ群 / 高次のホモトピ-結合性 / 自由ル-プ空間 / 自己ホモトピ-群
Research Abstract

代数的位相幾何学の中でもリ-群の位相的研究、無限次元り-群(自由ル-プ群、ゲ-ジ群など)のホモトピ-論的研究,非安定K理論の研究とその応用を通じて様々な位相幾何学の問題を考える。

  • Research Products

    (6 results)

All 2008 2007 2006

All Journal Article (5 results) (of which Peer Reviewed: 4 results) Book (1 results)

  • [Journal Article] Mod pdecompositions of non-simply connected Liegroups2008

    • Author(s)
      Kishimoto Daisuke ; Kono Akira
    • Journal Title

      J. Math. Kyoto Univ 48, no.1

      Pages: 1-5

    • Peer Reviewed
  • [Journal Article] Samelson products in Sp(2)2008

    • Author(s)
      Hamanaka Hiroaki ; Kaji Shizuo ; Kono Akira
    • Journal Title

      Topology Appl 155, no11

      Pages: 1207-1212

    • Peer Reviewed
  • [Journal Article] Homotopy type of gauge groups of SU(3)-bundles overS 62007

    • Author(s)
      Hamanaka Hiroaki ; Kono Akira
    • Journal Title

      Topology Appl 154, no7

      Pages: 1377-1380

    • Peer Reviewed
  • [Journal Article] Lusternik-Schnirelmann category of Spin(9)2007

    • Author(s)
      Iwase Norio ; Kono Akira
    • Journal Title

      Trans. Amer. Math. Soc 359, no4

      Pages: 1517-1526

  • [Journal Article] Self homotopy groups with large nilpotency classes2006

    • Author(s)
      Hamanaka Hiroaki ; Kishimoto Daisuke ; Kono Akira
    • Journal Title

      Topology Appl 153, no14

      Pages: 2425-2429

    • Peer Reviewed
  • [Book] Generalized cohomology. Translated from the 2002 Japanese edition by Tamaki. Translations of Mathematical Monographs2006

    • Author(s)
      Kono Akira ; Tamaki Dai
    • Total Pages
      xii+254
    • Publisher
      230. Iwanami Series in Modern Mathematics

URL: 

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

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