An Introduction to Contact Topology

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.

Author: Hansjorg Geiges
Publisher: Cambridge University Press
Published: 03/13/2008
Pages: 458
Binding Type: Hardcover
Weight: 1.70lbs
Size: 9.10h x 6.30w x 1.40d
ISBN: 9780521865852

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