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Morse Theory and Floer Homology

This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian sy...

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Bibliographic Details
Main Authors: Audin, Michèle, Damian, Mihai (Author)
Format: eBook
Language:English
Published: London Springer London 2014, 2014
Edition:1st ed. 2014
Series:Universitext
Subjects:
Geometry, Differential
Algebraic Topology
Geometry
Manifolds And Cell Complexes
Manifolds (mathematics)
Differential Geometry
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction to Part I
  • Morse Functions
  • Pseudo-Gradients
  • The Morse Complex
  • Morse Homology, Applications
  • Introduction to Part II
  • What You Need To Know About Symplectic Geometry
  • The Arnold Conjecture and the Floer Equation
  • The Maslov Index
  • Linearization and Transversality
  • Spaces of Trajectories
  • From Floer To Morse
  • Floer Homology: Invariance
  • Elliptic Regularity
  • Technical Lemmas
  • Exercises for the Second Part
  • Appendices: What You Need to Know to Read This Book

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