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Klappentext 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. Zusammenfassung This volume contains expositions of many breakthroughs in Kleinian groups and hyperbolic 3-manifolds including Jørgensen's famous paper 'On pairs of once punctured tori'. Graduate students will find much here to inspire them, while established researchers will value this as a snapshot of current research. Inhaltsverzeichnis 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....
