LEADER 03274nam 2200673 450 001 9910465703503321 005 20200520144314.0 010 $a1-4008-3719-7 010 $a0-691-12810-3 024 7 $a10.1515/9781400837199 035 $a(CKB)2560000000081913 035 $a(EBL)1693629 035 $a(SSID)ssj0000693378 035 $a(PQKBManifestationID)11396781 035 $a(PQKBTitleCode)TC0000693378 035 $a(PQKBWorkID)10657483 035 $a(PQKB)10849233 035 $a(MiAaPQ)EBC1693629 035 $a(DE-B1597)446889 035 $a(OCoLC)979579583 035 $a(DE-B1597)9781400837199 035 $a(Au-PeEL)EBL1693629 035 $a(CaPaEBR)ebr10874632 035 $a(CaONFJC)MIL612095 035 $a(OCoLC)880531475 035 $a(EXLCZ)992560000000081913 100 $a20060816d2007 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSpherical CR geometry and Dehn surgery /$fRichard Evan Schwartz 205 $aCourse Book 210 1$aPrinceton :$cPrinceton University Press,$d2007. 215 $a1 online resource (199 p.) 225 1 $aAnnals of mathematics studies ;$vnumber 165 300 $aDescription based upon print version of record. 311 $a0-691-12809-X 320 $aIncludes bibliographical references (pages [181]-184) and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tPart 1. Basic Material -- $tPart 2. Proof of the HST -- $tPart 3. The Applications -- $tPart 4. Structure of Ideal Triangle Groups -- $tBibliography -- $tIndex 330 $aThis book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3-manifolds which bound complex hyperbolic orbifolds--the only known examples of closed manifolds that simultaneously have these two kinds of geometric structures. The second is a complete understanding of the structure of complex hyperbolic reflection triangle groups in cases where the angle is small. In an accessible and straightforward manner, Richard Evan Schwartz also presents a large amount of useful information on complex hyperbolic geometry and discrete groups. Schwartz relies on elementary proofs and avoids "ations of preexisting technical material as much as possible. For this reason, this book will benefit graduate students seeking entry into this emerging area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry. 410 0$aAnnals of mathematics studies ;$vnumber 165. 606 $aCR submanifolds 606 $aDehn surgery (Topology) 606 $aThree-manifolds (Topology) 608 $aElectronic books. 615 0$aCR submanifolds. 615 0$aDehn surgery (Topology) 615 0$aThree-manifolds (Topology) 676 $a516.3/6 700 $aSchwartz$b Richard Evan$0307636 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910465703503321 996 $aSpherical CR geometry and Dehn surgery$9731846 997 $aUNINA