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Quasiconformal Mappings, Riemann Surfaces, and Teichmüller Spaces
 
Edited by: Yunping Jiang Queens College, CUNY, Flushing, NY and Graduate Center of the City University of New York, New York, NY
Sudeb Mitra Queens College, CUNY, Flushing, NY and Graduate Center of the City University of New York, New York, NY
Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces
Softcover ISBN:  978-0-8218-5340-5
Product Code:  CONM/575
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-9029-5
Product Code:  CONM/575.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5340-5
eBook: ISBN:  978-0-8218-9029-5
Product Code:  CONM/575.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces
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Quasiconformal Mappings, Riemann Surfaces, and Teichmüller Spaces
Edited by: Yunping Jiang Queens College, CUNY, Flushing, NY and Graduate Center of the City University of New York, New York, NY
Sudeb Mitra Queens College, CUNY, Flushing, NY and Graduate Center of the City University of New York, New York, NY
Softcover ISBN:  978-0-8218-5340-5
Product Code:  CONM/575
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-9029-5
Product Code:  CONM/575.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5340-5
eBook ISBN:  978-0-8218-9029-5
Product Code:  CONM/575.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5752012; 375 pp
    MSC: Primary 30; 32; 37;

    This volume contains the proceedings of the AMS Special Session on Quasiconformal Mappings, Riemann Surfaces, and Teichmüller Spaces, held in honor of Clifford J. Earle, from October 2–3, 2010, in Syracuse, New York.

    This volume includes a wide range of papers on Teichmüller theory and related areas. It provides a broad survey of the present state of research and the applications of quasiconformal mappings, Riemann surfaces, complex dynamical systems, Teichmüller theory, and geometric function theory. The papers in this volume reflect the directions of research in different aspects of these fields and also give the reader an idea of how Teichmüller theory intersects with other areas of mathematics.

    Readership

    Graduate students and research mathematicians interested in geometric complex analysis, especially Teichmüller theory.

  • Table of Contents
     
     
    • Articles
    • William Abikoff — Some remarks on singly degenerate Kleinian groups
    • Omar Antolín-Camarena and Sarah Koch — On a theorem of Kas and Schlessinger
    • Ara Basmajian — Conformally scattered sets in the unit circle
    • Joshua P. Bowman — Finiteness conditions on translation surfaces
    • Clifford J. Earle and Albert Marden — Holomorphic plumbing coordinates
    • Alastair Fletcher and Rob Fryer — On Böttcher coordinates and quasiregular maps
    • Ege Fujikawa — Discontinuity of asymptotic Teichmüller modular group
    • Frederick P. Gardiner and Zhe Wang — Extremal annuli on the sphere
    • Jane Gilman and Linda Keen — Lifting free subgroups of $PSL(2, \mathbb {R})$ to free groups
    • Gabino González-Diez and David Torres-Teigell — An introduction to Beauville surfaces via uniformization
    • W. J. Harvey and A. Lloyd-Philipps — Symmetry and moduli spaces for Riemann surfaces
    • Jun Hu and Oleg Muzician — Conformally natural extensions of continuous circle maps: I. The case when the pushforward measure has no atom
    • Xiaojun Huang and Jinsong Liu — Normal and quasinormal families of quasiregular mappings
    • Yunping Jiang — Symmetric invariant measures
    • Yunping Jiang and Sudeb Mitra — Douady-Earle section, holomorphic motions, and some applications
    • Yohei Komori — Cook-hats and crowns
    • Irwin Kra — On cohomology of Kleinian groups V: $b$-groups
    • Zhong Li and Yi Qi — Fundamental inequalities of Reich-Strebel and triangles in a Teichmüller space
    • Katsuhiko Matsuzaki — The Petersson series vanishes at infinity
    • Yuliang Shen — On fiber spaces over Teichmüller spaces
    • Hiroshige Shiga — On the number of holomorphic families of Riemann surfaces
    • Yoshihiko Shinomiya — Veech groups of flat structures on Riemann surfaces
    • Scott A. Wolpert — On families of holomorphic differentials on degenerating annuli
    • Guowu Yao — Transformations of spheres without the injectivity assumption
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5752012; 375 pp
MSC: Primary 30; 32; 37;

This volume contains the proceedings of the AMS Special Session on Quasiconformal Mappings, Riemann Surfaces, and Teichmüller Spaces, held in honor of Clifford J. Earle, from October 2–3, 2010, in Syracuse, New York.

This volume includes a wide range of papers on Teichmüller theory and related areas. It provides a broad survey of the present state of research and the applications of quasiconformal mappings, Riemann surfaces, complex dynamical systems, Teichmüller theory, and geometric function theory. The papers in this volume reflect the directions of research in different aspects of these fields and also give the reader an idea of how Teichmüller theory intersects with other areas of mathematics.

Readership

Graduate students and research mathematicians interested in geometric complex analysis, especially Teichmüller theory.

  • Articles
  • William Abikoff — Some remarks on singly degenerate Kleinian groups
  • Omar Antolín-Camarena and Sarah Koch — On a theorem of Kas and Schlessinger
  • Ara Basmajian — Conformally scattered sets in the unit circle
  • Joshua P. Bowman — Finiteness conditions on translation surfaces
  • Clifford J. Earle and Albert Marden — Holomorphic plumbing coordinates
  • Alastair Fletcher and Rob Fryer — On Böttcher coordinates and quasiregular maps
  • Ege Fujikawa — Discontinuity of asymptotic Teichmüller modular group
  • Frederick P. Gardiner and Zhe Wang — Extremal annuli on the sphere
  • Jane Gilman and Linda Keen — Lifting free subgroups of $PSL(2, \mathbb {R})$ to free groups
  • Gabino González-Diez and David Torres-Teigell — An introduction to Beauville surfaces via uniformization
  • W. J. Harvey and A. Lloyd-Philipps — Symmetry and moduli spaces for Riemann surfaces
  • Jun Hu and Oleg Muzician — Conformally natural extensions of continuous circle maps: I. The case when the pushforward measure has no atom
  • Xiaojun Huang and Jinsong Liu — Normal and quasinormal families of quasiregular mappings
  • Yunping Jiang — Symmetric invariant measures
  • Yunping Jiang and Sudeb Mitra — Douady-Earle section, holomorphic motions, and some applications
  • Yohei Komori — Cook-hats and crowns
  • Irwin Kra — On cohomology of Kleinian groups V: $b$-groups
  • Zhong Li and Yi Qi — Fundamental inequalities of Reich-Strebel and triangles in a Teichmüller space
  • Katsuhiko Matsuzaki — The Petersson series vanishes at infinity
  • Yuliang Shen — On fiber spaces over Teichmüller spaces
  • Hiroshige Shiga — On the number of holomorphic families of Riemann surfaces
  • Yoshihiko Shinomiya — Veech groups of flat structures on Riemann surfaces
  • Scott A. Wolpert — On families of holomorphic differentials on degenerating annuli
  • Guowu Yao — Transformations of spheres without the injectivity assumption
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.