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.
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.
Inhaltsangabe
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.
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.
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