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. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

• FOUNDATIONS


• 1: From classical to modern


• 2: Linear symplectic geometry


• 3: Symplectic manifolds


• 4: Almost complex structures


• SYMPLECTIC MANIFOLDS


• 5: Symplectic group actions


• 6: Symplectic Fibrations


• 7: Constructing Symplectic Manifolds


• SYMPLECTOMORPHISMS


• 8: Area-preserving dieomorphisms


• 9: Generating functions


• 10: The group of symplectomorphisms


• SYMPLECTIC INVARIANTS


• 11: The Arnold conjecture


• 12: Symplectic capacities


• 13: Questions of existence and uniqueness


• 14: Open problems


• A: Smooth Maps

Dusa McDuff was born in London, UK, in 1945. She studied Mathematics at the University of Edinburgh (B. Sc. (Hon) in 1967), at Cambridge University (Ph. D. in 1971, supervised by G.A. Reid), and also at Moscow University (1968-69 with I.M.Gelfand). After a postdoc in Cambridge, she lectured at the Universities of York and Warwick, before taking up a position in SUNY, Stony Brook, USA in 1978. She moved to Barnard College in 2008.
Dietmar Salamon was born in Bremen, West Germany, in 1953. Studied Mathematics at the Universities of Hannover and Bremen from 1971 to 1978. PhD in Mathematics at the University of Bremen in 1982 under the supervision of Didi Hinrichsen. Postdoc positions at UW Madison and ETH Z urich from 1983 to 1986. Lecturer, Reader, and Professor at the University of Warwick from 1986 to 1998. Professor at ETH Zurich since 1998.