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An Introduction to Contact Topology by Hansjorg Geiges

An Introduction to Contact Topology

by Hansjorg Geiges
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Book cover type: Hardcover
  • ISBN13: 9780521865852
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 458
  • Original Price: GBP 85.0
  • Language: English
  • Edition: N/A
  • Item Weight: 772 grams
  • BISAC Subject(s): Applied

This text on contact topology is the first 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 where the focus mainly on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums.

Geiges, Hansjörg: - Hansjörg Geiges is Professor of Mathematics in the Mathematisches Institut at Universität zu Köln.

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