Kleinian Groups and Hyperbolic 3-Manifolds

This collection explores breakthroughs in Kleinian groups and hyperbolic 3-manifolds, making it essential for graduate students and researchers. Kleinian Groups and Hyperbolic 3-Manifolds offers valuable insights.

This volume presents a comprehensive overview of significant advancements in the study of Kleinian groups and hyperbolic 3-manifolds, highlighting key contributions from various researchers. Among the notable works included is Jørgensen's renowned paper 'On pairs of once punctured tori', which is published in print for the first time. The collection serves as a valuable resource for both graduate students seeking inspiration and established researchers looking to stay updated on current developments in the field.

The subject of Kleinian groups and hyperbolic 3-manifolds is experiencing rapid progress, with many longstanding problems and conjectures nearing resolution. The proceedings from the Warwick workshop in September 2001 showcase a variety of breakthroughs, including Minsky's lectures on the proof of the Ending Lamination Conjecture, Brock and Bromberg's exploration of the Bers Density Conjecture, and the Tameness Conjecture addressed by Kleineidam and Souto. Additionally, the volume features insights into cone manifolds by Hodgson and Kerckhoff, as well as a counterexample to Thurston's K=2 conjecture by Epstein, Marden, and Markovic.

Overall, this collection of papers provides a snapshot of the state of the art in the field. It is an ideal resource for graduate students eager to delve into contemporary research and for established scholars who appreciate a well-rounded summary of ongoing work in Kleinian groups and hyperbolic 3-manifolds. The book Kleinian Groups and Hyperbolic 3-Manifolds is a must-read for anyone interested in these dynamic areas of mathematics.