An Introduction to Contact Topology (Hardcover) (ISBN-13: 9780521865852)

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: Hansjg Geiges
ISBN-10: 0521865859
ISBN-13: 9780521865852
Publisher: Cambridge University Press
Language: English
Published: 03/13/2008
Pages: 458
Format: Hardcover
Weight: 1.70lbs
Size: 9.10h x 6.30w x 1.40d