An introduction to contact topology
Hansjörg Geiges
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.
درجه (قاطیغوری(:
کال:
2008
خپرونه:
illustrated edition
خپرندویه اداره:
Cambridge University Press
ژبه:
english
صفحه:
458
ISBN 10:
0521865859
ISBN 13:
9780521865852
لړ (سلسله):
Cambridge studies in advanced mathematics 109
فایل:
PDF, 2.78 MB
IPFS:
,
english, 2008