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Spaces of Kleinian Groups

Spaces of Kleinian Groups

$95.99 (C)

Part of London Mathematical Society Lecture Note Series

Y. Minsky, M. Sakuma, C. Series, K. Bromberg, K. Oshika, H. Miyachi, C. Lecuire, B. Martelli, H. Akiyoshi, U. Hamenstädt, J. Aramayona, S. A. Wolpert, A. Marden, Y. Komori, J. Gilman, D. J. Wright, S. Kojima, S. Mizushima, S. P. Tan, K. Ito, Y. Yamashita
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  • Date Published: June 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521617970

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About the Authors
  • 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.

    • Important and original research from leading names
    • Includes results in topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory
    • Covers much of the material from the explosion in the area over recent years
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    Product details

    • Date Published: June 2006
    • format: Paperback
    • isbn: 9780521617970
    • length: 398 pages
    • dimensions: 228 x 154 x 21 mm
    • weight: 0.557kg
    • contains: 68 b/w illus. 4 colour illus. 10 tables
    • availability: Available
  • 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.

  • Editors

    Yair N. Minsky, Yale University, Connecticut
    Yair Minsky is a professor of Mathematics at Yale University.

    Makoto Sakuma, University of Osaka, Japan
    Makoto Sakuma is an associate professor of Mathematics at Osaka University.

    Caroline Series, University of Warwick
    Caroline Series is a professor of Mathematics at Warwick University.

    Contributors

    Y. Minsky, M. Sakuma, C. Series, K. Bromberg, K. Oshika, H. Miyachi, C. Lecuire, B. Martelli, H. Akiyoshi, U. Hamenstädt, J. Aramayona, S. A. Wolpert, A. Marden, Y. Komori, J. Gilman, D. J. Wright, S. Kojima, S. Mizushima, S. P. Tan, K. Ito, Y. Yamashita

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