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Geometry of Riemann Surfaces

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Part of London Mathematical Society Lecture Note Series

W. J. Harvey, M. R. Bridson, E. Bujalance, F. J. Cirre, G. Gromadzki, P. Buser, S. Bullett, A. F. Costa, M. Izquierdo, C. J. Earle, F. P. Gardiner, Y. Jiang, Z. Wang, J. Gilman, L. Keen, V. González-Aguilera, G. González-Diez, R. Hidalgo, B. Maskit, G. McShane, H. Parlier, S. Mitra, J. R. Parker, I. D. Platis, M. Pontani, P. Teofilatto, R. Silhol
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  • Date Published: February 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521733076

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About the Authors
  • Riemann surfaces is a thriving area of mathematics with applications to hyperbolic geometry, complex analysis, fractal geometry, conformal dynamics, discrete groups, geometric group theory, algebraic curves and their moduli, various kinds of deformation theory, coding, thermodynamic formalism, and topology of three-dimensional manifolds. This collection of articles, authored by leading authorities in the field, comprises 16 expository essays presenting original research and expert surveys of important topics related to Riemann surfaces and their geometry. It complements the body of recorded research presented in the primary literature by broadening, re-working and extending it in a more focused and less formal framework, and provides a valuable commentary on contemporary work in the subject. An introductory section sets the scene and provides sufficient background to allow graduate students and research workers from other related areas access to the field.

    • Rapidly expanding area of mathematics
    • Authored by well-known authorities in the field
    • Contains an introductory section that opens up the field to graduate students and researchers from a variety of related fields
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    Product details

    • Date Published: February 2010
    • format: Paperback
    • isbn: 9780521733076
    • length: 416 pages
    • dimensions: 229 x 152 x 24 mm
    • weight: 0.61kg
    • contains: 51 b/w illus.
    • availability: Available
  • Table of Contents

    Preface
    Foreword W. J. Harvey
    Semisimple actions of mapping class groups on CAT(0) spaces M. R. Bridson
    A survey of research inspired by Harvey's theorem on cyclic groups of automorphisms E. Bujalance, F. J. Cirre and G. Gromadzki
    Algorithms for simple closed geodesics P. Buser
    Matings in holomorphic dynamics S. Bullett
    Equisymmetric strata of the singular locus of the moduli space of Riemann surfaces of genus 4 A. F. Costa and M. Izquierdo
    Diffeomorphisms and automorphisms of compact hyperbolic 2-orbifolds C. J. Earle
    Holomorphic motions and related topics F. P. Gardiner, Y. Jiang and Z. Wang
    Cutting sequences and palindromes J. Gilman and L. Keen
    On a Schottky problem for the singular locus of A5 V. González-Aguilera
    Non-special divisors supported on the branch set of a p-gonal Riemann surface G. González-Diez
    A note on the lifting of automorphisms R. Hidalgo and B. Maskit
    Simple closed geodesics of equal length on a torus G. McShane and H. Parlier
    On extensions of holomorphic motions – a survey S. Mitra
    Complex hyperbolic quasi-Fuchsian groups J. R. Parker and I. D. Platis
    Geometry of optimal trajectories M. Pontani and P. Teofilatto
    Actions of fractional Dehn twists on moduli spaces R. Silhol.

  • Editors

    Frederick P. Gardiner, Brooklyn College, City University of New York
    Frederick P. Gardiner is Broeklundian Professor in the Department of Mathematics at Brooklyn College, CUNY.

    Gabino González-Diez, Universidad Autónoma de Madrid
    Gabino Gonzalez-Diez is Professor in the Department of Mathematics at the Autonomous University of Madrid.

    Christos Kourouniotis, University of Crete
    Christos Kourouniotis is Assistant Professor in the Department of Mathematics at the University of Crete.

    Contributors

    W. J. Harvey, M. R. Bridson, E. Bujalance, F. J. Cirre, G. Gromadzki, P. Buser, S. Bullett, A. F. Costa, M. Izquierdo, C. J. Earle, F. P. Gardiner, Y. Jiang, Z. Wang, J. Gilman, L. Keen, V. González-Aguilera, G. González-Diez, R. Hidalgo, B. Maskit, G. McShane, H. Parlier, S. Mitra, J. R. Parker, I. D. Platis, M. Pontani, P. Teofilatto, R. Silhol

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