Spherical CR Geometry and Dehn Surgery
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A01=Richard Evan Schwartz
Arc (geometry)
Author_Richard Evan Schwartz
Automorphism
Ball (mathematics)
Bijection
Bump function
Cartesian product
Category=PBM
Clifford torus
Compact space
Conjugacy class
Contact geometry
Convex hull
Coprime integers
Covering space
CR manifold
Dehn surgery
Diagram (category theory)
Diameter
Discrete group
Double coset
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Equivalence relation
Function (mathematics)
Fundamental domain
Geometry
Hexagonal tiling
Holonomy
Homeomorphism
Homology (mathematics)
Homotopy
Horosphere
Hyperbolic 3-manifold
Hyperbolic Dehn surgery
Hyperbolic geometry
Hyperbolic manifold
Hyperbolic space
Hypersurface
I0
Ideal triangle
Intermediate value theorem
Intersection (set theory)
Isometry
Isometry group
Limit set
Mathematical induction
Metric space
Mobius transformation
Parity (mathematics)
Partition of unity
Polyhedron
Projection (linear algebra)
Projectivization
R-factor (crystallography)
Real projective space
Sard's theorem
Seifert fiber space
Set (mathematics)
Siegel domain
Simply connected space
Special case
Subgroup
Subsequence
Subset
Tangent space
Tetrahedron
Theorem
Topology
Transversality (mathematics)
Triangle group
Unit disk
Unit sphere
Product details
- ISBN 9780691128108
- Weight: 312g
- Dimensions: 152 x 235mm
- Publication Date: 18 Feb 2007
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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This 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 quotations 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.
Richard Evan Schwartz is Professor of Mathematics at Brown University.
