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).
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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).
Imprint | Birkhauser Verlag AG |
Country of origin | Switzerland |
Series | Advanced Courses in Mathematics - CRM Barcelona |
Release date | April 2003 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2003 |
Authors | Michele Audin, Ana Cannas Da Silva, Eugene Lerman |
Dimensions | 244 x 170 x 12mm (L x W x T) |
Format | Paperback |
Pages | 226 |
Edition | 2003 ed. |
ISBN-13 | 978-3-7643-2167-3 |
Barcode | 9783764321673 |
Categories | |
LSN | 3-7643-2167-9 |