Helmut Hofer, Eduard Zehnder

Symplectic Invariants and Hamiltonian Dynamics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Birkhäuser Basel
• Seitenzahl: 346
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783034885409
• Artikelnr.: 53102698

Autorenporträt

Helmut Hofer is Professor at the Institute for Advanced Study in Princeton, New Jersey, USA. Eduard Zehnder is emeritus Professor of ETH Zürich, Switzerland.

Inhaltsangabe

From the contents:
1 Introduction.- 2 Symplectic capacities.- 3 Existence of a capacity.- 4 Existence of closed charasteristics.- 5 Compactly supported symplectic mappings in R2n.- 6 The Arnold conjecture, Floer homology and symplectic homology.- Appendix.- Index.- Bibliography.

Rezensionen

From the reviews:

"Symplectic Invariants and Hamiltonian Dynamics is obviously a work of central importance in the field and is required reading for all would-be players in this game. Happily, it is very well written and sports a lot of very useful commentary by the authors; the sections introducing the individual chapters are particularly well done ... . It is all fine scholarship in an exciting and fertile area." (Michael Berg, The Mathematical Association of America, June, 2011)