Introduction to symplectic topology
著者
書誌事項
Introduction to symplectic topology
（Oxford mathematical monographs）
Oxford University Press, [2005], c1998
2nd ed., [Reprinted.(corr.)]
- : pbk
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注記
"This reprint of the second edition corrects some typos as well as some significant errors, notably the statement of Theorem 6.36 about Hamiltonian boundles and the discussion preceding Exercise 10.28."--preface to the second edition 2005
"Oxford science publications"--Cover
Includes bibliographical references (p. [458]-471) and index
内容説明・目次
内容説明
Symplectic structures underlie the equations of classical mechanics and their properties are reflected in the behaviour of a wide range of physical systems. Over the last few 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. At its publication in 1995, Introduction to Symplectic Topology was the first comprehensive introduction to the subject, and has since become an established text in this fast-developing area of mathematics. This second edition has been significantly revised and expanded, with new references and examples added and theorems included or revised. A section has been included on new developments in the subject, and there is a more extensive discussion of Taubes and Donaldson's recent contributions to the subject. From reviews of the first edition: '...an authoritative and comprehensive reference...McDuff and Salamon have done an enormous service to the symplectic community: their book greatly enhances the accessibility of the subject to students and researchers alike.' Book Reviews, AMS
目次
- I. FOUNDATIONS
- II. SYMPLECTIC MANIFOLDS
- III. SYMPLECTOMORPHISMS
- IV. SYMPLECTIC INVARIANTS
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