Author Description

Over The Past 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 Work Was The First Comprehensive Introduction To The Subject And Became A Key Text In The Area. In 1998, A Significantly Revised Second Edition Contained New Sections And Updates. This Third Edition Includes Both Further Updates And New Material On This Fast-developing Area. All Chapters Have Been Revised To Improve The Exposition, New Material Has Been Added In Many Places, And Various Proofs Have Been Tightened Up. [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 And Index.