Spaces of Kleinian groups / edited by Yair N. Minsky, Makoto Sakuma, Caroline Series.
Material type:
TextSeries: London Mathematical Society lecture note series ; 329.Publisher: Cambridge : Cambridge University Press, 2006Description: 1 online resource (vii, 390 pages) : digital, PDF file(s)Content type: - text
- computer
- online resource
- 9781139106993 (ebook)
- 515.93 22
- QA331 .S683 2006
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Drilling short geodesics in hyperbolic-3 manifolds / K. Bromberg -- On topologically tame Kleinian groups with bounded geometry / Ken'ichi Oshika and Hideki Miyachi -- An extension of the Masur domain Cyril Lecuire -- Thurston's bending measure conjecture for once punctured torus groups / Caroline Series -- Complexity of 3-manifolds / Bruno Martelli -- Moduli of continuity of Cannon-Thurston maps / Hideki Miyachi -- Variations of McShane's identity for punctured surface groups / Hirotaka Akiyoshi, Hideki Miyachi and Makoto Sakuma -- Train tracks and the Gromov boundary of the complex of curves / Ursula Hamenstadt -- The pants complex has only one end / Howard Masur and Saul Schleimer -- The Weil-Petersson geometry of the five-times punctured sphere / Javier Aramayona -- Convexity of geodesic-length functions : a reprise / Scott A. Wolpert -- A proof of the Ahlfors finiteness theorem / Albert Marden -- On the automorphic functions for Fuchsian groups of genus two / Yohei Komori -- Boundaries for two-parabolic Schottky groups / Jane Gilman -- Searching for the cusp / David J. Wright -- Circle packings on surfaces with projective structures : a survey / Sadayoshi Kojima, Shigeru Mizushima and Ser Peow Tan -- Grafting and components of quasi-fuchsian projective structures / Kentaro Ito -- Computer experiments on the discreteness locus in projective structures / Yasushi Yamashita.
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the resolution of many longstanding conjectures. This volume contains important expositions and original work by some of the main contributors on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory, computer explorations and projective structures. Researchers in these and related areas will find much of interest here.
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