An Introduction to Contact Topology

Released on by Hansjörg Geiges
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  • An Introduction to Contact Topology Book Detail

  • Author : Hansjörg Geiges
  • Release Date : 2008-03-13
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 458
  • ISBN 13 : 9780521865852
  • File Size : 56,56 MB
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An Introduction to Contact Topology by Hansjörg Geiges PDF Summary

Book Description: 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.

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