Symplectic Invariants and Hamiltonian Dynamics

by Helmut Hofer, Eduard Zehnder

Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book. Topics covered include basic sympletic geometry, sympletic capacities and rigidity, sympletic fixed point theory, and a survey on Floer homology and sympletic homology.

356 pages, Hardcover

First published June 30, 1994