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
Call Number:Libro Electrónico
Main Authors: Hofer, Helmut (Author), Zehnder, Eduard (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edition:1st ed. 2011.
Series:Modern Birkhäuser Classics,
Subjects:
Geometry, Differential.
Manifolds (Mathematics).
Mathematical analysis.
Differential Geometry.
Manifolds and Cell Complexes.
Analysis.
Online Access:Texto Completo
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.

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