Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / edited by Y. Komori, V. Markovic, C. Series.
Collection of papers summarising the state of the art. Ideal for graduate students or established researchers.
Saved in:
| Online Access: |
Full Text (via Cambridge) |
|---|---|
| Other Authors: | , , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2003.
|
| Series: | London Mathematical Society lecture note series ;
299. |
| Subjects: |
MARC
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| 245 | 0 | 0 | |a Kleinian groups and hyperbolic 3-manifolds : |b proceedings of the Warwick Workshop, September 11-14, 2001 / |c edited by Y. Komori, V. Markovic, C. Series. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2003. | ||
| 300 | |a 1 online resource (vii, 384 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 299 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Series-title; Title; Copyright; Contents; Preface; Part I Hyperbolic 3-manifolds; Combinatorial and geometrical aspects of hyperbolic 3-manifolds; 1. Introduction; 1.1. Object of Study; 1.2. Kleinian surface groups; 1.3. Models and bounds; 1.4. Plan; 2. Curve complex and model manifold; 2.1. The complex of curves; 2.2. Model construction; 2.3. Geometry of the model; 3. From ending laminations to model manifold; 3.1. Background; 4. The quasiconvexity argument; 4.1. The bounded-curve projection; 4.2. Definition of Pi; 5. Quasiconvexity and projection bounds. | |
| 505 | 8 | |a 5.1. Relative bounds for subsurfaces5.2. Penetration in Margulis tubes; 5.3. Proof of the tube penetration theorem; 6. A priori length bounds and model map; 6.1. Proving the a priori bounds; 6.2. Constructing the Lipschitz map; 6.3. Consequences; References; Harmonic deformations of hyperbolic 3-manifolds; 1. Introduction; 2. Deformations of hyperbolic structures; 3. Infinitesimal harmonic deformations; 4. Effective Rigidity; 5. A quantitative hyperbolic Dehn surgery theorem; 6. Kleinian groups and boundary value theory; References; Cone-manifolds and the density conjecture; 1. Introduction. | |
| 505 | 8 | |a 1.1. Approximating the ends1.2. Realizing ends on a Bers boundary; 1.3. Candidate approximates; 1.4. Plan of the paper; 1.5. Acknowledgments; 2. Cone-deformations; 2.1. The drilling theorem; 3. Grafting short geodesics; 3.1. Graftings as cone-manifolds.; 3.2. Simultaneous grafting; 4. Drilling and asymptotic isolation of ends; 4.1. Example; 4.2. Isolation of ends; 4.3. Realizing ends in Bers compactifications; 4.4. Binding realizations; 5. Incompressible ends; References; Les géodésiques fermées d'une variété hyperbolique en tant que nœuds. | |
| 505 | 8 | |a Closed geodesics in a hyperbolic manifold, viewed as knots1. Introduction; 2. Les géodésiques courtes dans une variété hyperbolique homéo-morphe à S R; 3. Le cas des variétés à bord compressible; Références; Ending laminations in the Masur domain; 1. Introduction; 2. Preliminaries; 2.1. Compact cores; 2.2. Compression bodies; 2.3. Function groups; 2.4. Boundary groups; 2.5. Laminations on surfaces; 2.6. Pleated surfaces; 3. Laminations on the exterior boundary; 4. Compactness theorem; 5. Main results; References; Quasi-arcs in the limit set of a singly degenerate group with bounded geometry. | |
| 505 | 8 | |a 1. Introduction2. Preliminaries; 2.1. Notation; 2.2. Model manifolds; 3. Proof of theorems; 3.1. Proof of Theorem 1.3; 3.2. Proof of Theorem 1.2; 3.3. Proof of Theorem 1.1; 3.4. Uncountably many quasi-arcs; References; On hyperbolic and spherical volumes for knot and link cone-manifolds; 1. Introduction; 2. Trigonometrical identities for knots and links; 2.1. Cone-manifolds, complex distances and lengths; 2.2. Whitehead link cone-manifold; 2.3. The Borromean cone-manifold; 3. Explicit volume calculation; 3.1. The Schläfli formula; 3.2. Volume of the Whitehead link cone-manifold. | |
| 505 | 8 | |a 3.3. Volume of the Borromean rings cone-manifold. | |
| 520 | |a Collection of papers summarising the state of the art. Ideal for graduate students or established researchers. | ||
| 650 | 0 | |a Kleinian groups |v Congresses. | |
| 650 | 0 | |a Three-manifolds (Topology) |v Congresses. | |
| 650 | 0 | |a Geometry, Hyperbolic |v Congresses. | |
| 650 | 7 | |a Geometry, Hyperbolic. |2 fast |0 (OCoLC)fst00940922 | |
| 650 | 7 | |a Kleinian groups. |2 fast |0 (OCoLC)fst00988014 | |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast |0 (OCoLC)fst01150339 | |
| 655 | 7 | |a Conference papers and proceedings. |2 fast |0 (OCoLC)fst01423772 | |
| 700 | 1 | |a Komori, Yōhei, |d 1966- | |
| 700 | 1 | |a Markovic, V. |q (Vladimir) | |
| 700 | 1 | |a Series, Caroline. | |
| 776 | 0 | 8 | |i Print version: |t Kleinian groups and hyperbolic 3-manifolds. |d Cambridge ; New York : Cambridge University Press, 2003 |z 0521540135 |w (DLC) 2004273945 |w (OCoLC)52828967 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 299. | |
| 856 | 4 | 0 | |u https://colorado.idm.oclc.org/login?url=https://doi.org/10.1017/CBO9780511542817 |z Full Text (via Cambridge) |
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| 998 | |b New collection CUP.ebaebookscomplete | ||
| 994 | |a 92 |b COD | ||
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