Introduction to symplectic topology / Dusa McDuff, Dietmar Salamon.

Format:

Book

Author/Creator:

McDuff, Dusa, 1945- author.

Salamon, D. (Dietmar), author.

Series:

Oxford graduate texts in mathematics ; 27.

Oxford Graduate Texts in Mathematics ; 27

Language:

English

Subjects (All):

Symplectic manifolds.

Topology.

Physical Description:

1 online resource (268 pages) : illustrations.

Edition:

Third edition.

Place of Publication:

New York, NY : Oxford University Press, 2017.

Summary:

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.

Contents:

[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.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9780191836411

0191836419

9780192514011

0192514016