{ "item_title" : "Symplectic Geometry of Integrable Hamiltonian Systems", "item_author" : [" Michèle Audin", "Ana Cannas Da Silva", "Eugene Lerman "], "item_description" : "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).", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/76/432/167/3764321679_b.jpg", "price_data" : { "retail_price" : "59.95", "online_price" : "59.95", "our_price" : "59.95", "club_price" : "59.95", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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