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An Introduction to Contact Topology (Cambridge Studies in Advanced Mathematics) | 
 enlarge | Author: Hansjoerg Geiges
Publisher: Cambridge University Press
Category: Book
List Price: $90.00
Buy New: $74.90
You Save: $15.10 (17%)
New (8) Used (4) from $74.90
Sales Rank: 734311
Media: Hardcover
Pages: 456
Number Of Items: 1
Shipping Weight (lbs): 1.6
Dimensions (in): 9.1 x 6.3 x 1.1
ISBN: 0521865859
Dewey Decimal Number: 514.72
EAN: 9780521865852
Publication Date: March 17, 2008
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
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Product 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.
Book Description
This self-contained text is the first comprehensive introduction to the subject of contact topology. The reader is led from the historical roots of contact geometry to striking recent applications in geometric and differential topology. Ideal for graduate courses on contact geometry, and as a reference for researchers.
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