LEADER 03574nam 2200697Ia 450 001 9910824730903321 005 20200520144314.0 010 $a1-107-17883-5 010 $a1-281-24339-6 010 $a9786611243395 010 $a0-511-37796-7 010 $a0-511-37706-1 010 $a0-511-37612-X 010 $a0-511-37461-5 010 $a0-511-61143-9 010 $a0-511-37885-8 035 $a(CKB)1000000000407994 035 $a(EBL)328910 035 $a(OCoLC)226296024 035 $a(SSID)ssj0000182473 035 $a(PQKBManifestationID)11178510 035 $a(PQKBTitleCode)TC0000182473 035 $a(PQKBWorkID)10172254 035 $a(PQKB)11304572 035 $a(UkCbUP)CR9780511611438 035 $a(MiAaPQ)EBC328910 035 $a(Au-PeEL)EBL328910 035 $a(CaPaEBR)ebr10221448 035 $a(CaONFJC)MIL124339 035 $a(PPN)261312081 035 $a(EXLCZ)991000000000407994 100 $a20071218d2008 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn introduction to contact topology /$fHansjorg Geiges 205 $a1st ed. 210 $aCambridge $cCambridge University Press$d2008 215 $a1 online resource (xv, 440 pages) $cdigital, PDF file(s) 225 1 $aCambridge studies in advanced mathematics ;$v109 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-86585-9 320 $aIncludes bibliographical references and indexes. 327 $aCover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Contents; Preface; Preface; 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 Poincare? lemma; Appendix B: Time-dependent vector fields; References; Notation index; Author index; Subject index 330 $aThis text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers. 410 0$aCambridge studies in advanced mathematics ;$v109. 606 $aSymplectic and contact topology 606 $aDifferential topology 615 0$aSymplectic and contact topology. 615 0$aDifferential topology. 676 $a514.72 700 $aGeiges$b Hansjorg$f1966-$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824730903321 996 $aIntroduction to contact topology$9715349 997 $aUNINA