Kleinian Groups and Hyperbolic 3-Manifolds

Proceedings of the Warwick Workshop, September 11-14, 2001

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Paperback | 10 November 2003

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392 Pages

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The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky''s lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston''s K=2 conjecture by Epstein, Marden and Markovic. It also contains Jorgensen''s famous paper ''On pairs of once punctured tori'' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.

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Hyperbolic 3-Manifolds
Combinatorial and geometrical aspects of hyperbolic 3-manifolds
Harmonic deformations of hyperbolic 3-manifolds
Cone-manifolds and the density conjecture
Les geodesiques fermes d'une variete hyperbolique en tant que noeuds
Ending laminations in the Masur domain
Quasi-arcs in the limit set of a singly degenerate group with bounded geometry
On hyperbolic and spherical volumes for knot and link cone-manifolds
Remarks on the curve complex: classification of surface homeomorphisms
Once-punctured tori
On pairs of once-punctured tori
Comparing two convex hull constructions for cusped hyperbolic manifolds
Jorgensen's picture of punctured torus groups and its refinement
Tetrahedral decompositions of punctured torus bundles
On the boundary of the Earle slice for punctured torus groups
Related Topics
Variations on a theme of Horowitz
Complex angle scattering
Schwarz's lemma and the Kobayashi and Caratheodory pseudometrics on complex Banach manifolds
Table of Contents provided by Publisher. All Rights Reserved.

Kleinian Groups and Hyperbolic 3-Manifolds

Proceedings of the Warwick Workshop, September 11-14, 2001

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