Introduction to Symplectic Topology

3. Auflage 2017
ISBN: 978-0-19-879490-5
Verlag: Oxford University Press

Buch, Englisch, 640 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1044 g

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.

Autoren/Hrsg.

McDuff, Dusa

Salamon, Dietmar

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Analytische Topologie

Inhaltsverzeichnis

- 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

Über Autor(innen)

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.