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Introduction to symplectic topology

Author: Dusa McDuff; D Salamon
Publisher: Oxford, UK : Oxford University Press, 2017.
Series: Oxford graduate texts in mathematics, 27.
Edition/Format:   Print book : English : Third editionView all editions and formats
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  Read more...
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Document Type: Book
All Authors / Contributors: Dusa McDuff; D Salamon
ISBN: 9780198794905 0198794908 9780198794899 0198794894
OCLC Number: 957745627
Description: xi, 623 pages ; 24 cm
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.
Series Title: Oxford graduate texts in mathematics, 27.
Responsibility: Dusa McDuff, Dietmar Salamon.

Abstract:

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  Read more...

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A most welcome resource for graduate students entering the field... The book has been updated in many places, so that it also continues to serve as a reference work for specialists. The attentive Read more...

 
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