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About 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.
Detailed Information
| Author: | Hansjorg Geiges |
|---|---|
| Publication Year: | 2008 |
| ISBN: | 9780511377068 |
| Pages: | 458 |
| Language: | English |
| File Size: | 2.742 |
| Format: | |
| Price: | FREE |
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