Articles liés à Function Theory on Symplectic Manifolds

Function Theory on Symplectic Manifolds - Couverture rigide

Polterovich, Leonid; Rosen, Daniel

 
9781470416935: Function Theory on Symplectic Manifolds
Couverture rigide
ISBN 10 : 147041693X ISBN 13 : 9781470416935
Editeur : American Mathematical Society, 2014

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Leonid Polterovich and Daniel Rosen, Tel Aviv University, Israel.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2014
Langue
anglais
ISBN 10 
147041693X
ISBN 13 
9781470416935
Reliure
Relié
Nombre de pages
203
Coordonnées du fabricant
non disponible
Personne responsable
non disponible