Kleinian Groups And Hyperbolic 3-Manifolds - Komori Y. (Curatore); Markovic V. (Curatore); Series C. (Curatore) | Libro Cambridge University Press 10/2003 - HOEPLI.it


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komori y. (curatore); markovic v. (curatore); series c. (curatore) - kleinian groups and hyperbolic 3-manifolds

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

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Genere:Libro
Lingua: Inglese
Pubblicazione: 10/2003





Note Editore

The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.




Sommario

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.




Prefazione

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.




Trama

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.







Altre Informazioni

ISBN:

9780521540131

Condizione: Nuovo
Collana: London Mathematical Society Lecture Note Series
Dimensioni: 229 x 21 x 154 mm Ø 540 gr
Formato: Brossura
Illustration Notes:50 b/w illus.
Pagine Arabe: 392






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