Kleinian Groups and Hyperbolic 3-Manifolds: Proceedings of the Warwick Workshop, September 11-14, 2001 - Brossura

 
9780521540131: Kleinian Groups and Hyperbolic 3-Manifolds: Proceedings of the Warwick Workshop, September 11-14, 2001

Sinossi

Collection of papers summarising the state of the art. Ideal for graduate students or established researchers.

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Descrizione del libro

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.

Contenuti

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.

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