{"product_id":"symplectic-geometry-of-integrable-hamiltonian-michle-audin-9783764321673","title":"Symplectic Geometry of Integrable Hamiltonian Systems","description":"\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mich鑞e Audin, Ana Cannas Da Silva, Eugene Lerman\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3764321679\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783764321673\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/24\/2003\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 226\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.93lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 7.00w x 0.51d","brand":"Mich鑞e Audin","offers":[{"title":"Paperback","offer_id":43940853285119,"sku":"9783764321673","price":59.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_1a70822c-6dd9-4819-b735-81cd72c1195c.jpg?v=1681449543","url":"https:\/\/www.whiterainbookhouse.com\/products\/symplectic-geometry-of-integrable-hamiltonian-michle-audin-9783764321673","provider":"WR Book House","version":"1.0","type":"link"}