Kleinian Groups and Hyperbolic 3-Manifolds
Including presentations by field authorities describing the state of current research, a workshop was held on Kleinian groups and hyperbolic 3-manifolds in September 2001. This volume includes a selection of workshop contributions representative of its extremely high standards. Beginning graduate students will find them inspiring, and established researchers will discover reliable references to current research.
- Snapshot of current state of the art in Kleinian groups and hyperbolic 3-manifolds
- Contains famous paper by Jørgensen in print for the first time
- Many ideas for future research directions
Product details
November 2003Paperback
9780521540131
392 pages
229 × 154 × 21 mm
0.54kg
50 b/w illus.
Available
Table of Contents
- Part I. Hyperbolic 3-Manifolds:
- 1. Combinatorial and geometrical aspects of hyperbolic 3-manifolds Y. Minsky
- 2. Harmonic deformations of hyperbolic 3-manifolds C. D. Hodgson and S. P. Kerchoff
- 3. Cone-manifolds and the density conjecture J. F. Brock and K. W. Bromberg
- 4. Les géodésiques fermés d'une variété hyperbolique en tant que noeuds J.-P. Otal
- 5. Ending laminations in the Masur domain G. Kleineidam and J. Souto
- 6. Quasi-arcs in the limit set of a singly degenerate group with bounded geometry H. Miyachi
- 7. On hyperbolic and spherical volumes for knot and link cone-manifolds A. D. Mednykh
- 8. Remarks on the curve complex: classification of surface homeomorphisms W. J. Harvey
- Part II. Once-punctured tori:
- 9. On pairs of once-punctured tori T. Jørgensen
- 10. Comparing two convex hull constructions for cusped hyperbolic manifolds H. Akiyoshi and M. Sakuma
- 11. Jørgensen's picture of punctured torus groups and its refinement H. Akiyoshi, M. Sakuma, M. Wada and Y. Yamashita
- 12. Tetrahedral decompositions of punctured torus bundles J. R. Parker
- 13. On the boundary of the Earle slice for punctured torus groups Y. Komori
- Part III. Related Topics:
- 14. Variations on a theme of Horowitz J. W. Anderson
- 15. Complex angle scattering D. B. A. Epstein, A. Marden and V. Markovic
- 16. Schwarz's lemma and the Kobayashi and Carathéodory pseudometrics on complex Banach manifolds C. J. Earle, L. A. Harris, J. H. Hubbard and S. Mitra.