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Introduction to symplectic topology

Introduction to symplectic topology
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Field name Details
Dewey Class 514.2 (DDC 23)
Title Introduction to symplectic topology (M) / Dusa McDuff and Dietmar Salamon
Author McDuff, Dusa , 1945-
Added Personal Name Salamon, Dietmar
Edition statement Third edition.
Publication Oxford : Oxford University Press , 2017
Physical Details xi, 623 pages : ill. ; 23 cm.
Series Oxford graduate texts in mathematics ; 27
ISBN 9780198794905
Summary Note 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 book 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. Copious new references to key papers have been added to the bibliography. In particular, the material on contact geometry has been significantly expanded, many more details on linear complex structures and on the symplectic blowup and blowdown have been added, the section on J-holomorphic curves in Chapter 4 has been thoroughly revised, there are new sections on GIT and on the topology of symplectomorphism groups, and the section on Floer homology has been revised and updated. Chapter 13 has been completely rewritten and has a new title (Questions of Existence and Uniqueness). It now contains an introduction to existence and uniqueness problems in symplectic topology, a section describing various examples, an overview of Taubes–Seiberg–Witten theory and its applications to symplectic topology, and a section on symplectic 4-manifolds. Chapter 14 on open problems has been added.:
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Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044638 517.975 MCD 3rd ed.
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