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Introduction to symplectic topology / Dusa McDuff, Dietmar Salamon.

By: McDuff, Dusa, 1945-.
Contributor(s): Salamon, D. (Dietmar).
Series: Oxford graduate texts in mathematics: 27.Edition: Third edition.Description: xi, 623 pages ; 24 cm.ISBN: 9780198794899 (hbk); 0198794894 (hbk); 9780198794905 (pbk); 0198794908 (pbk).Subject(s): Symplectic manifolds | Topology | Symplectic manifolds | TopologyDDC classification: 516.36
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.
Summary: 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.--
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Item type Current location Call number Status Date due Barcode Item holds
Book Skoltech library
Shelves 		QA649 .M418 2017 (Browse shelf) Available 2000007441
Total holds: 0

Includes bibliographical references (pages 583-610) and index.

[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.

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.--

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