Helmut Hofer

(Author)

Symplectic Invariants and Hamiltonian DynamicsPaperback, 2 April 2011

Symplectic Invariants and Hamiltonian Dynamics
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Part of Series
Modern Birkhäuser Classics
Part of Series
Modern Birkhauser Classics
Print Length
341 pages
Language
English
Publisher
Birkhauser
Date Published
2 Apr 2011
ISBN-10
3034801033
ISBN-13
9783034801034

Description

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 mappings. This raises new questions, many of them still unanswered. On the other hand, analysis of an old variational principle in classical mechanics has established global periodic phenomena in Hamiltonian systems. As it turns out, these seemingly different phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book, which includes such topics as basic symplectic geometry, symplectic capacities and rigidity, periodic orbits for Hamiltonian systems and the action principle, a bi-invariant metric on the symplectic diffeomorphism group and its geometry, symplectic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and symplectic homology.

The exposition is self-contained and addressed to researchers and students from the graduate level onwards.

Product Details

Authors:
Helmut HoferEduard Zehnder
Book Format:
Paperback
Country of Origin:
NL
Date Published:
2 April 2011
Dimensions:
23.11 x 15.49 x 2.03 cm
ISBN-10:
3034801033
ISBN-13:
9783034801034
Language:
English
Location:
Basel
Pages:
341
Publisher:
Weight:
498.95 gm

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