{"product_id":"9783764321673","title":"Advanced Courses in Mathematics - CRM Barcelona","description":"\u003ch1\u003eAdvanced Courses in Mathematics - CRM Barcelona\u003c\/h1\u003e \u003ch2\u003eAudin, Michèle; Cannas da Silva, Ana; Lerman, Eugene\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eAmong all the Hamiltonian systems, the \u003cem\u003eintegrable\u003c\/em\u003e 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).\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2003-04-24\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783764321673\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-0348-8071-8\u003c\/p\u003e \u003cp\u003eDimensions: 244cm x170cm\u003c\/p\u003e \u003cp\u003ePages: 226\u003c\/p\u003e ","brand":"Birkhäuser Basel","offers":[{"title":"Default Title","offer_id":45378496954508,"sku":"9783764321673","price":53.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783764321673.jpg?v=1775683118","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783764321673","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}