Symplectic Invariants and Hamiltonian Dynamics

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...

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Bibliographic Details
Main Authors: Hofer, Helmut, Zehnder, Eduard (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2011, 2011
Edition:1st ed. 2011
Series:Modern Birkhäuser Classics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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