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This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

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Book Details

ISBN: 9780521865852
ISBN-10: 0521865859
Format: Hardback
(228mm x 152mm x 30mm)
Pages: 458
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Mar-2008
Country of Publication: United Kingdom

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Author Biography - Hansjorg Geiges

Hansjorg Geiges is Professor of Mathematics in the Mathematisches Institut at Universitat zu Koln.

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