{"product_id":"symplectic-geometry-of-integrable-hamiltonian-systems-von-michele-audin-eugene-lerman-ana-cannas-da-silva-und-ana-cannas-da-silva","title":"Symplectic Geometry of Integrable Hamiltonian Systems","description":"\n                                \n                \u003cp\u003e\n                                        Among all the Hamiltonian systems, the \n                    \n                    \u003cem\u003eintegrable\u003c\/em\u003e\n                                         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).\n                \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783764321673\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783764321673","offer_id":49593045352773,"sku":"9783764321673","price":42.75,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/2d9ab9a8-11fe-4861-82ce-8437203e05dd.jpg?v=1782452400","url":"https:\/\/shop.autorenwelt.de\/products\/symplectic-geometry-of-integrable-hamiltonian-systems-von-michele-audin-eugene-lerman-ana-cannas-da-silva-und-ana-cannas-da-silva","provider":"Autorenwelt Shop","version":"1.0","type":"link"}