Morse Theory and Floer Homology [electronic resource] by Michèle Audin, Mihai Damian.

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 system is bo...

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Bibliographic Details
Uniform Title:Universitext, 2191-6675
Main Authors: Audin, Michèle (Author)
Damian, Mihai (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: London : Springer London : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Universitext,
Subjects:
Geometry.
Geometry, Differential.
Algebraic topology.
Manifolds (Mathematics).
Online Access:
Springer English/International eBooks 2014 - Full Set: 2014 (Springer Link)
Format: Electronic eBook
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.