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Handbook of Teichmüller Theory: Volume II
 
Edited by: Athanase Papadopoulos Université de Strasbourg, Strasbourg, France
A publication of European Mathematical Society
Front Cover for Handbook of Teichmuller Theory: Volume II
Available Formats:
Hardcover ISBN: 978-3-03719-055-5
Product Code: EMSILMTP/13
List Price: $128.00
AMS Member Price: $102.40
Please note AMS points can not be used for this product
Front Cover for Handbook of Teichmuller Theory: Volume II
Click above image for expanded view
Handbook of Teichmüller Theory: Volume II
Edited by: Athanase Papadopoulos Université de Strasbourg, Strasbourg, France
A publication of European Mathematical Society
Available Formats:
Hardcover ISBN:  978-3-03719-055-5
Product Code:  EMSILMTP/13
List Price: $128.00
AMS Member Price: $102.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS IRMA Lectures in Mathematics and Theoretical Physics
    Volume: 132009; 883 pp
    MSC: Primary 30; 32;

    This multi-volume set deals with Teichmüller theory in the broadest sense, namely, as the study of moduli space of geometric structures on surfaces, with methods inspired or adapted from those of classical Teichmüller theory. The aim is to give a complete panorama of this generalized Teichmüller theory and of its applications in various fields of mathematics. The volumes consist of chapters, each of which is dedicated to a specific topic.

    The volume has 19 chapters and is divided into four parts:

    • The metric and the analytic theory (uniformization, Weil–Petersson geometry, holomorphic families of Riemann surfaces, infinite-dimensional Teichmüller spaces, cohomology of moduli space, and the intersection theory of moduli space).
    • The group theory (quasi-homomorphisms of mapping class groups, measurable rigidity of mapping class groups, applications to Lefschetz fibrations, affine groups of flat surfaces, braid groups, and Artin groups).
    • Representation spaces and geometric structures (trace coordinates, invariant theory, complex projective structures, circle packings, and moduli spaces of Lorentz manifolds homeomorphic to the product of a surface with the real line).
    • The Grothendieck–Teichmüller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmüller theory of the solenoid).


    This handbook is an essential reference for graduate students and researchers interested in Teichmüller theory and its ramifications, in particular for mathematicians working in topology, geometry, algebraic geometry, dynamical systems and complex analysis.

    The authors are leading experts in the field.

    Readership

    Graduate students and research mathematicians interested in analysis.

  • Request Review Copy
Volume: 132009; 883 pp
MSC: Primary 30; 32;

This multi-volume set deals with Teichmüller theory in the broadest sense, namely, as the study of moduli space of geometric structures on surfaces, with methods inspired or adapted from those of classical Teichmüller theory. The aim is to give a complete panorama of this generalized Teichmüller theory and of its applications in various fields of mathematics. The volumes consist of chapters, each of which is dedicated to a specific topic.

The volume has 19 chapters and is divided into four parts:

  • The metric and the analytic theory (uniformization, Weil–Petersson geometry, holomorphic families of Riemann surfaces, infinite-dimensional Teichmüller spaces, cohomology of moduli space, and the intersection theory of moduli space).
  • The group theory (quasi-homomorphisms of mapping class groups, measurable rigidity of mapping class groups, applications to Lefschetz fibrations, affine groups of flat surfaces, braid groups, and Artin groups).
  • Representation spaces and geometric structures (trace coordinates, invariant theory, complex projective structures, circle packings, and moduli spaces of Lorentz manifolds homeomorphic to the product of a surface with the real line).
  • The Grothendieck–Teichmüller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmüller theory of the solenoid).


This handbook is an essential reference for graduate students and researchers interested in Teichmüller theory and its ramifications, in particular for mathematicians working in topology, geometry, algebraic geometry, dynamical systems and complex analysis.

The authors are leading experts in the field.

Readership

Graduate students and research mathematicians interested in analysis.

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