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Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Symplectic Geometry of Integrable Hamiltonian Systems ([EBook] /) / by Michèle Audin, Ana Cannas da Silva, Eugene Lerman.
Author	Audin, Michèle
Added Personal Name	Silva, Ana Cannas da author.
Added Personal Name	Lerman, Eugene author.
Other name(s)	SpringerLink (Online service)
Publication	Basel : : Birkhäuser Basel : : Imprint: Birkhäuser, , 2003.
Physical Details	X, 226 p. : online resource.
Series	Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemática
ISBN	9783034880718
Summary Note	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).:
Contents note	A Lagrangian Submanifolds -- I Lagrangian and special Lagrangian immersions in C“ -- II Lagrangian and special Lagrangian submanifolds in symplectic and Calabi-Yau manifolds -- B Symplectic Toric Manifolds -- I Symplectic Viewpoint -- II Algebraic Viewpoint -- C Geodesic Flows and Contact Toric Manifolds -- I From toric integrable geodesic flows to contact toric manifolds -- II Contact group actions and contact moment maps -- III Proof of Theorem I.38 -- List of Contributors.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8071-8
Links to Related Works	Subject References: Complex manifolds . Differential Geometry . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematical Methods in Physics . Mathematics . Physics . Authors: Audin, Michèle . Lerman, Eugene . Silva, Ana Cannas da . Corporate Authors: SpringerLink (Online service) . Series: Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemática . Classification: 516.36 .

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Symplectic Geometry of Integrable Hamiltonian Systems

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