Introduction to Symplectic Topology by Dusa McDuffIntroduction to Symplectic Topology by Dusa McDuff

Introduction to Symplectic Topology

byDusa McDuff, Dietmar Salamon

Paperback | April 3, 2017

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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 bookwas 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 rightup-to-date.
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, befo...
Title:Introduction to Symplectic TopologyFormat:PaperbackDimensions:632 pagesPublished:April 3, 2017Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198794908

ISBN - 13:9780198794905


Table of Contents

FOUNDATIONS1. From classical to modern2. Linear symplectic geometry3. Symplectic manifolds4. Almost complex structuresSYMPLECTIC MANIFOLDS5. Symplectic group actions6. Symplectic Fibrations7. Constructing Symplectic ManifoldsSYMPLECTOMORPHISMS8. Area-preserving dieomorphisms9. Generating functions10. The group of symplectomorphismsSYMPLECTIC INVARIANTS11. The Arnold conjecture12. Symplectic capacities13. Questions of existence and uniqueness14. Open problemsA. Smooth Maps

Editorial Reviews

Review from previous edition: " authoritative and comprehensive reference...McDuff and Salamon have done an enormous service to the symplectic community: their book greatly enhances the accessibility of the subject to students and researchers alike." --Book Reviews, American Mathematical Society