Morse Theory and Floer Homology
Audin, Michèle / Damian, Mihai / Erné, Reinie
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 bounded below by the dimension of the homology of the underlying manifold.The first part is a thorough introduction to Morse theory, a fundamental to...