Descripción del título
Symplectic Geometry of Inte...
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)
Monografía
monografia Rebiun25828197 https://catalogo.rebiun.org/rebiun/record/Rebiun25828197 m o d cr mnu---uuaaa 121227s2003 sz ob 001 0 eng 934980123 1113590352 9783034880718 electronic bk.) 3034880715 electronic bk.) 0817621679 alk. paper) 9780817621674 alk. paper) 9783764321673 3764321679 10.1007/978-3-0348-8071-8. doi AU@ 000051688178 NZ1 14989928 NZ1 15329264 AU@ eng pn AU@ OCLCO OCLCQ GW5XE OCLCQ OCLCF COO OCLCQ EBLCP OCLCQ YDX UAB OCLCQ U3W LEAUB OCLCQ UKBTH OCLCQ PBMP bicssc MAT012030 bisacsh 516.36 23 Audin, Michèle Symplectic Geometry of Integrable Hamiltonian Systems by Michèle Audin, Ana Cannas Silva, Eugene Lerman Basel Birkhäuser Basel Imprint Birkhäuser 2003 Basel Basel Birkhäuser Basel Imprint Birkhäuser 1 online resource (240 pages) 1 online resource (240 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica Includes bibliographical references and index A. Lagrangian Submanifolds (M. Audin) -- B. Symplectic Toric Manifolds (A. Cannas da Silva) -- C. Geodesic Flows and Contact Toric Manifolds (E. Lerman) 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) Mathematics Global differential geometry Cell aggregation- Mathematics Mathematical physics Cell aggregation- Mathematics Global differential geometry Mathematical physics Mathematics Electronic books Silva, Ana Cannas Lerman, Eugene Print version 9783764321673 Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica