Function Theory on Symplectic Manifolds

Function Theory on Symplectic Manifolds

AngličtinaPevná väzba
Rosen Daniel
American Mathematical Society
EAN: 9781470416935
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Podrobné informácie

This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics. Since the 1980s, powerful methods such as Gromov's pseudo-holomorphic curves and Morse-Floer theory on loop spaces gave rise to the discovery of unexpected symplectic phenomena. The present book focuses on function spaces associated with a symplectic manifold. A number of recent advances show that these spaces exhibit intriguing properties and structures, giving rise to an alternative intuition and new tools in symplectic topology. The book provides an essentially self-contained introduction into these developments along with applications to symplectic topology, algebra and geometry of symplectomorphism groups, Hamiltonian dynamics and quantum mechanics. It will appeal to researchers and students from the graduate level onwards.
EAN 9781470416935
ISBN 147041693X
Typ produktu Pevná väzba
Vydavateľ American Mathematical Society
Dátum vydania 30. októbra 2014
Stránky 203
Jazyk English
Rozmery 254 x 178
Krajina United States
Autori Rosen Daniel
Séria CRM Monograph Series