Spaces of Kleinian Groups -

Spaces of Kleinian Groups

Buch | Softcover
398 Seiten
2006
Cambridge University Press (Verlag)
978-0-521-61797-0 (ISBN)
92,25 inkl. MwSt
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.
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.

Yair Minsky is a professor of Mathematics at Yale University. Makoto Sakuma is an associate professor of Mathematics at Osaka University. Caroline Series is a professor of Mathematics at Warwick University.

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.

Erscheint lt. Verlag 19.6.2006
Reihe/Serie London Mathematical Society Lecture Note Series
Zusatzinfo 10 Tables, unspecified; 68 Line drawings, unspecified; 4 Line drawings, color
Verlagsort Cambridge
Sprache englisch
Maße 154 x 228 mm
Gewicht 557 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-521-61797-9 / 0521617979
ISBN-13 978-0-521-61797-0 / 9780521617970
Zustand Neuware
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