Symplectic Invariants and Hamiltonian Dynamics

Helmut Hofer

Eduard Zehnder

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Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. ...

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Description

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.