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[98] Topological Aspects of Loop Groups

  • László Fehér
  • András Stipsicz
  • János Szenthe
Chapter
Part of the Contemporary Mathematicians book series (CM)

Abstract

The purpose of these lectures is to give an introduction to the topological aspect s of the loop space ΩG when G is a compact Lie group. We will give a direct method of computing the cohomology of ΩG from very geometric and group theoretic data, usually referred to as the diagram. The main tool in our calculations is a version of Morse theory adapted to the study of loop spaces.

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Authors and Affiliations

  • László Fehér
    • 1
  • András Stipsicz
    • 2
  • János Szenthe
    • 3
  1. 1.Department of AnalysisEötvös UniversityBudapestHungary
  2. 2.Department of MathematicsRutgers UniversityCamdenUSA
  3. 3.Department of GeometryEötvös UniversityBudapestHungary

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