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From Floer to Morse

  • Michèle Audin
  • Mihai Damian
Part of the Universitext book series (UTX)

Abstract

We prove that in the case of a nondegenerate Hamiltonian that does not depend on time and is sufficiently small, when we are able to define the Morse complex and the Floer complex, the two coincide.

Keywords

Vector Field Fiber Bundle Fredholm Operator Morse Function Maslov Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [65]
    Salamon, D.: Morse theory, the Conley index and Floer homology. Bull. Lond. Math. Soc. 32, 113–140 (1990) MathSciNetCrossRefGoogle Scholar
  2. [68]
    Schwarz, M.: Morse Homology. Birkhäuser, Basel (1993) CrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  • Michèle Audin
    • 1
  • Mihai Damian
    • 1
  1. 1.IRMAUniversité Louis PasteurStrasbourg CedexFrance

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