Symplectic Invariants and Hamiltonian Dynamics

• Main Authors: Hofer, Helmut (Author), Zehnder, Eduard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2011.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Analysis.

The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic mappings is very different from that of volume preserving map...

Table of Contents:

• 1 Introduction
• 2 Symplectic capacities
• 3 Existence of a capacity
• 4 Existence of closed characteristics
• 5 Compactly supported symplectic mappings in R2n
• 6 The Arnold conjecture, Floer homology and symplectic homology
• Appendix
• Index
• Bibliography.