Introduction to Symplectic Topology (Oxford Graduate Texts in Mathematics)

Synopsis

Over The Last Number Of Years Powerful New Methods In Analysis And Topology Have Led To The Development Of The Modern Global Theory Of Symplectic Topology, Including Several Striking And Important Results. The First Edition Of Introduction To Symplectic Topology Was Published In 1995. The Book Was The First Comprehensive Introduction To The Subject And Became A Key Text In The Area. A Significantly Revised Second Edition Was Published In 1998 Introducing New Sections And Updates On The Fast-developing Area. This New Third Edition Includes Updates And New Material To Bring The Book Right Up-to-date. [pt.] I. Foundations -- From Classical To Modern -- Linear Symplectic Geometry -- Symplectic Manifolds -- Almost Complex Structures -- [pt.] Ii. Symplectic Manifolds -- Symplectic Group Actions -- Symplectic Fibrations -- Constructing Symplectic Manifolds -- [pt.] Iii. Symplectomorphisms -- Area-preserving Diffeomorphisms -- Generating Functions -- The Group Of Symplectomorphisms -- [pt.] Iv. Symplectic Invariants -- The Arnold Conjecture -- Symplectic Capacities -- Questions Of Existence And Uniqueness -- Open Problems -- Smooth Maps. Dusa Mcduff, Dietmar Salamon. Includes Bibliographical References (p. [583]-610) And Index.