000 02164nam a22003378i 4500
001 CR9780511611438
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090910s2008||||enk o ||1 0|eng|d
020 _a9780511611438 (ebook)
020 _z9780521865852 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA613.659
_b.G45 2008
082 0 0 _a514.72
_222
100 1 _aGeiges, Hansjörg,
_d1966-
_eauthor.
245 1 3 _aAn introduction to contact topology /
_cHansjörg Geiges.
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (xv, 440 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v109
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 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.
650 0 _aSymplectic and contact topology.
776 0 8 _iPrint version:
_z9780521865852
830 0 _aCambridge studies in advanced mathematics ;
_v109.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511611438
999 _c516785
_d516783