Spherical CR Geometry and Dehn Surgery (AM-165) / / Richard Evan Schwartz.
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 whic...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2007] ©2007 |
| Year of Publication: | 2007 |
| Edition: | Course Book |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
165 |
| Online Access: | |
| Physical Description: | 1 online resource (200 p.) :; 15 halftones. 9 line illus. |
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| LEADER | 07377nam a22019575i 4500 | ||
|---|---|---|---|
| 001 | 9781400837199 | ||
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| 020 | |a 9781400837199 | ||
| 024 | 7 | |a 10.1515/9781400837199 |2 doi | |
| 035 | |a (DE-B1597)446889 | ||
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| 100 | 1 | |a Schwartz, Richard Evan, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Spherical CR Geometry and Dehn Surgery (AM-165) / |c Richard Evan Schwartz. |
| 250 | |a Course Book | ||
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2007] | |
| 264 | 4 | |c ©2007 | |
| 300 | |a 1 online resource (200 p.) : |b 15 halftones. 9 line illus. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 165 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Part 1. Basic Material -- |t Part 2. Proof of the HST -- |t Part 3. The Applications -- |t Part 4. Structure of Ideal Triangle Groups -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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 "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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a CR submanifolds. | |
| 650 | 0 | |a Dehn surgery (Topology). | |
| 650 | 0 | |a Three-manifolds (Topology). | |
| 650 | 7 | |a MATHEMATICS / Geometry / General. |2 bisacsh | |
| 653 | |a Arc (geometry). | ||
| 653 | |a Automorphism. | ||
| 653 | |a Ball (mathematics). | ||
| 653 | |a Bijection. | ||
| 653 | |a Bump function. | ||
| 653 | |a CR manifold. | ||
| 653 | |a Calculation. | ||
| 653 | |a Canonical basis. | ||
| 653 | |a Cartesian product. | ||
| 653 | |a Clifford torus. | ||
| 653 | |a Combinatorics. | ||
| 653 | |a Compact space. | ||
| 653 | |a Conjugacy class. | ||
| 653 | |a Connected space. | ||
| 653 | |a Contact geometry. | ||
| 653 | |a Convex cone. | ||
| 653 | |a Convex hull. | ||
| 653 | |a Coprime integers. | ||
| 653 | |a Coset. | ||
| 653 | |a Covering space. | ||
| 653 | |a Dehn surgery. | ||
| 653 | |a Dense set. | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Diameter. | ||
| 653 | |a Diffeomorphism. | ||
| 653 | |a Differential geometry of surfaces. | ||
| 653 | |a Discrete group. | ||
| 653 | |a Double coset. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Equation. | ||
| 653 | |a Equivalence class. | ||
| 653 | |a Equivalence relation. | ||
| 653 | |a Euclidean distance. | ||
| 653 | |a Four-dimensional space. | ||
| 653 | |a Function (mathematics). | ||
| 653 | |a Fundamental domain. | ||
| 653 | |a Geometry and topology. | ||
| 653 | |a Geometry. | ||
| 653 | |a Harmonic function. | ||
| 653 | |a Hexagonal tiling. | ||
| 653 | |a Holonomy. | ||
| 653 | |a Homeomorphism. | ||
| 653 | |a Homology (mathematics). | ||
| 653 | |a Homotopy. | ||
| 653 | |a Horosphere. | ||
| 653 | |a Hyperbolic 3-manifold. | ||
| 653 | |a Hyperbolic Dehn surgery. | ||
| 653 | |a Hyperbolic geometry. | ||
| 653 | |a Hyperbolic manifold. | ||
| 653 | |a Hyperbolic space. | ||
| 653 | |a Hyperbolic triangle. | ||
| 653 | |a Hypersurface. | ||
| 653 | |a I0. | ||
| 653 | |a Ideal triangle. | ||
| 653 | |a Intermediate value theorem. | ||
| 653 | |a Intersection (set theory). | ||
| 653 | |a Isometry group. | ||
| 653 | |a Isometry. | ||
| 653 | |a Limit point. | ||
| 653 | |a Limit set. | ||
| 653 | |a Manifold. | ||
| 653 | |a Mathematical induction. | ||
| 653 | |a Metric space. | ||
| 653 | |a Möbius transformation. | ||
| 653 | |a Parameter. | ||
| 653 | |a Parity (mathematics). | ||
| 653 | |a Partial derivative. | ||
| 653 | |a Partition of unity. | ||
| 653 | |a Permutation. | ||
| 653 | |a Polyhedron. | ||
| 653 | |a Projection (linear algebra). | ||
| 653 | |a Projectivization. | ||
| 653 | |a Quotient space (topology). | ||
| 653 | |a R-factor (crystallography). | ||
| 653 | |a Real projective space. | ||
| 653 | |a Right angle. | ||
| 653 | |a Sard's theorem. | ||
| 653 | |a Seifert fiber space. | ||
| 653 | |a Set (mathematics). | ||
| 653 | |a Siegel domain. | ||
| 653 | |a Simply connected space. | ||
| 653 | |a Solid torus. | ||
| 653 | |a Special case. | ||
| 653 | |a Sphere. | ||
| 653 | |a Stereographic projection. | ||
| 653 | |a Subgroup. | ||
| 653 | |a Subsequence. | ||
| 653 | |a Subset. | ||
| 653 | |a Tangent space. | ||
| 653 | |a Tangent vector. | ||
| 653 | |a Tetrahedron. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology. | ||
| 653 | |a Torus. | ||
| 653 | |a Transversality (mathematics). | ||
| 653 | |a Triangle group. | ||
| 653 | |a Union (set theory). | ||
| 653 | |a Unit disk. | ||
| 653 | |a Unit sphere. | ||
| 653 | |a Unit tangent bundle. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Backlist 2000-2013 |z 9783110442502 |
| 776 | 0 | |c print |z 9780691128108 | |
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| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400837199 |
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