Morse Theory and Floer Homology

• Main Authors: Audin, Michèle (Author), Damian, Mihai (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Geometry.; Differential geometry.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Differential Geometry.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).

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...