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035   $a(DE-B1597)9781400837199
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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)
610   $aArc (geometry).
610   $aAutomorphism.
610   $aBall (mathematics).
610   $aBijection.
610   $aBump function.
610   $aCR manifold.
610   $aCalculation.
610   $aCanonical basis.
610   $aCartesian product.
610   $aClifford torus.
610   $aCombinatorics.
610   $aCompact space.
610   $aConjugacy class.
610   $aConnected space.
610   $aContact geometry.
610   $aConvex cone.
610   $aConvex hull.
610   $aCoprime integers.
610   $aCoset.
610   $aCovering space.
610   $aDehn surgery.
610   $aDense set.
610   $aDiagram (category theory).
610   $aDiameter.
610   $aDiffeomorphism.
610   $aDifferential geometry of surfaces.
610   $aDiscrete group.
610   $aDouble coset.
610   $aEigenvalues and eigenvectors.
610   $aEquation.
610   $aEquivalence class.
610   $aEquivalence relation.
610   $aEuclidean distance.
610   $aFour-dimensional space.
610   $aFunction (mathematics).
610   $aFundamental domain.
610   $aGeometry and topology.
610   $aGeometry.
610   $aHarmonic function.
610   $aHexagonal tiling.
610   $aHolonomy.
610   $aHomeomorphism.
610   $aHomology (mathematics).
610   $aHomotopy.
610   $aHorosphere.
610   $aHyperbolic 3-manifold.
610   $aHyperbolic Dehn surgery.
610   $aHyperbolic geometry.
610   $aHyperbolic manifold.
610   $aHyperbolic space.
610   $aHyperbolic triangle.
610   $aHypersurface.
610   $aI0.
610   $aIdeal triangle.
610   $aIntermediate value theorem.
610   $aIntersection (set theory).
610   $aIsometry group.
610   $aIsometry.
610   $aLimit point.
610   $aLimit set.
610   $aManifold.
610   $aMathematical induction.
610   $aMetric space.
610   $aMöbius transformation.
610   $aParameter.
610   $aParity (mathematics).
610   $aPartial derivative.
610   $aPartition of unity.
610   $aPermutation.
610   $aPolyhedron.
610   $aProjection (linear algebra).
610   $aProjectivization.
610   $aQuotient space (topology).
610   $aR-factor (crystallography).
610   $aReal projective space.
610   $aRight angle.
610   $aSard's theorem.
610   $aSeifert fiber space.
610   $aSet (mathematics).
610   $aSiegel domain.
610   $aSimply connected space.
610   $aSolid torus.
610   $aSpecial case.
610   $aSphere.
610   $aStereographic projection.
610   $aSubgroup.
610   $aSubsequence.
610   $aSubset.
610   $aTangent space.
610   $aTangent vector.
610   $aTetrahedron.
610   $aTheorem.
610   $aTopology.
610   $aTorus.
610   $aTransversality (mathematics).
610   $aTriangle group.
610   $aUnion (set theory).
610   $aUnit disk.
610   $aUnit sphere.
610   $aUnit tangent bundle.
615  0$aCR submanifolds.
615  0$aDehn surgery (Topology)
615  0$aThree-manifolds (Topology)
676   $a516.3/6
686   $aSK 350$2rvk
700   $aSchwartz$b Richard Evan$0307636
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910791746703321
996   $aSpherical CR geometry and Dehn surgery$9731846
997   $aUNINA