This text on contact topology is a 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. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.Read more
- First text to give a comprehensive introduction to contact geometry, with thorough discussion of all basic methods of the subject
- Long introductory chapter on the historical roots of contact geometry and its connection with physics, Riemannian geometry, and geometric topology
- Proofs of many folklore results and careful presentation of all fundamental results in the subject
- Detailed exposition of Eliashberg's classification of overtwisted contact structures
Reviews & endorsements
'… a fundamental monograph … can be strongly recommended for graduate students and is indispensable for specialists in the field.' EMS Newsletter
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: March 2008
- format: Hardback
- isbn: 9780521865852
- length: 458 pages
- dimensions: 231 x 160 x 36 mm
- weight: 0.77kg
- contains: 85 b/w illus.
- availability: Available
Table of Contents
1. Facets of Contact Geometry
2. Contact Manifolds
3. Knots in Contact 3-Manifolds
4. Contact Structures on 3-Manifolds
5. Symplectic Fillings and Convexity
6. Contact Surgery
7. Further Constructions of Contact Manifolds
8. Contact Structures on 5-Manifolds
Appendix A. The generalised Poincaré lemma
Appendix B. Time-dependent vector fields
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact firstname.lastname@example.org.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×