Spaces of Kleinian Groups

Important and original research in the fast-developing subject of Kleinian groups and hyperbolic 3-manifolds.

Yair N. Minsky (Edited by), Makoto Sakuma (Edited by), Caroline Series (Edited by)

9780521617970, Cambridge University Press

Paperback, published 19 June 2006

398 pages, 68 b/w illus. 4 colour illus. 10 tables
22.8 x 15.4 x 2.1 cm, 0.557 kg

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.

Preface Y. Minsky, M. Sakuma and C. Series
1. Drilling short geodesics in hyperbolic-3 manifolds K. Bromberg
2. On topologically tame Kleinian groups with bounded geometry K. Oshika & H. Miyachi
3. An extension of the Masur domain C. Lecuire
4. Thurston's bending measure conjecture for once punctured torus groups C. Series
5. Complexity of 3-manifolds B. Martelli
6. Moduli of continuity of Cannon-Thurston maps H. Miyachi
7. Variations of McShane's identity for punctured surface groups H. Akiyoshi, H. Miyachi and M. Sakuma
8. Train tracks and the Gromov boundary of the complex of curves U. Hamenstädt
9. The pants complex only has one end H. Masur and S. Schleimer
10. The Weil-Petersson geometry of the five-times punctured sphere J. Aramayona
11. Convexity of geodesic-length functions: a reprise S. A. Wolpert
12. A proof of the Ahlfors finiteness theorem A. Marden
13. On the automorphic functions for Fuchsian groups of genus two Y. Komori
14. Boundaries for two-parabolic Schottky groups J. Gilman
15. Searching for the cusp D. J. Wright
16. Circle packings on surfaces with projective structures: a survey S. Kojima, S. Mizushima and S. P. Tan
17. Grafting and components of quasi-fuchsian projective structures K. Ito
18. Computer experiments on the discreteness locus in projective structures Y. Yamashita.

Subject Areas: Topology [PBP], Geometry [PBM]