Symplectic Geometry of Integrable Hamiltonian Systems:
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Bibliographische Detailangaben
1. Verfasser: Audin, Michèle (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Basel Birkhäuser Basel 2003
Schriftenreihe:Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica
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Beschreibung:Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising come-back in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book)
Beschreibung:1 Online-Ressource (240p)
ISBN:9783034880718
9783764321673
DOI:10.1007/978-3-0348-8071-8

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