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Handbook of Teichmüller Theory: Volume III
 
Edited by: Athanase Papadopoulos Université de Strasbourg, Strasbourg, France
A publication of European Mathematical Society
Handbook of Teichmuller Theory: Volume III
Hardcover ISBN:  978-3-03719-103-3
Product Code:  EMSILMTP/17
List Price: $128.00
AMS Member Price: $102.40
Please note AMS points can not be used for this product
Handbook of Teichmuller Theory: Volume III
Click above image for expanded view
Handbook of Teichmüller Theory: Volume III
Edited by: Athanase Papadopoulos Université de Strasbourg, Strasbourg, France
A publication of European Mathematical Society
Hardcover ISBN:  978-3-03719-103-3
Product Code:  EMSILMTP/17
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: 172012; 874 pp
    MSC: Primary 30; 32; 57; 11; 14; 20

    The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with \(3\)-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics, and others. This confluence of ideas toward a unique subject is a manifestation of the unity and harmony of mathematics.

    This volume contains surveys on the fundamental theory as well as surveys on applications to and relations with the fields mentioned above. It is written by leading experts in these fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems.

    This volume is divided into the following four sections:

    • The metric and the analytic theory
    • The group theory
    • The algebraic topology of mapping class groups and moduli spaces
    • Teichmüller theory and mathematical physics

    This handbook is addressed to graduate students and researchers in all the fields mentioned.

    A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

    Readership

    Graduate students and research mathematicians interested in metric and analytic theory, group theory, algebraic topology of mapping class groups and moduli spaces, Teichmüller theory, and mathematicial physics.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 172012; 874 pp
MSC: Primary 30; 32; 57; 11; 14; 20

The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with \(3\)-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics, and others. This confluence of ideas toward a unique subject is a manifestation of the unity and harmony of mathematics.

This volume contains surveys on the fundamental theory as well as surveys on applications to and relations with the fields mentioned above. It is written by leading experts in these fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems.

This volume is divided into the following four sections:

  • The metric and the analytic theory
  • The group theory
  • The algebraic topology of mapping class groups and moduli spaces
  • Teichmüller theory and mathematical physics

This handbook is addressed to graduate students and researchers in all the fields mentioned.

A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in metric and analytic theory, group theory, algebraic topology of mapping class groups and moduli spaces, Teichmüller theory, and mathematicial physics.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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