Spaces of Kleinian Groups

by Yair N. Minsky, Makoto Sakuma, Caroline Series

Overview

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 from the explosion in the area over recent years, including important and original research from leading names in the field.

Product Details

ISBN-13:	9780521617970
Publisher:	Cambridge University Press
Publication date:	06/19/2006
Series:	London Mathematical Society Lecture Note Series , #329
Edition description:	1ST
Pages:	398
Product dimensions:	6.06(w) x 8.98(h) x 0.83(d)

About the Author

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.

Table of Contents

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.