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Accueil > Publications > Lectures in Mathematics & Theoretical Physics > Volume 17 : Handbook of Teichmüller Theory, Volume III
Volume 17 : Handbook of Teichmüller Theory, Volume III
Editor : Athanase Papadopoulos (IRMA, Strasbourg, France)
ISBN 978-3-03719-103-3, DOI 10.4171/103, June 2012, 874 pages, hardcover, 17 x 24 cm.
98.00 Euro
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 towards a unique subject is a manifestation of the unity and harmony of mathematics.
The present 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 the fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems.
The main themes covered are : 
The metric and the analytic theory. The group theory. The algebraic topology of mapping class groups and moduli spaces. Teichmüller theory and mathematical physics.
The handbook is addressed to graduate students and researchers in all the fields mentioned.
Relevant information and order form are available on EMS web site.
Dernière mise à jour le 23-03-2020
Dans la même rubrique :
- Présentation
- Volume 32 : Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 2
- Volume 31 : Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 1
- Volume 30 : Handbook of Teichmüller Theory, Volume VII
- Volume 29 : Eighteen Essays in Non-Euclidean Geometry
- Volume 28 : Linear Forms in Logarithms and Applications
- Volume 27 : Handbook of Teichmüller Theory, Volume VI
- Volume 26 : Handbook of Teichmüller Theory, Volume V
- Volume 25 : Metric Measure Geometry. Gromov’s Theory of Convergence and Concentration of Metrics and Measures
- Volume 24 : Free Loop Spaces in Geometry and Topology
- Volume 23 : Sophus Lie and Felix Klein : The Erlangen Program and Its Impact in Mathematics and Physics.
- Volume 22 : Handbook of Hilbert Geometry
- Volume 21 : Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series.
- Volume 20 : Singularities in Geometry and Topology
- Volume 19 : Handbook of Teichmüller Theory, Volume IV
- Volume 18 : Strasbourg Master Class on Geometry
- Volume 16 : Handbook of Pseudo-Riemannian Geometry and Supersymmetry
- Volume 15 : Renormalization and Galois Theories
- Volume 14 : Dynamical Systems and Processes
- Volume 13 : Handbook of Teichmüler Theory, volume II
- Volume 12 : Quantum Groups
- Volume 11 : Handbook of Teichmüller Theory, Volume I
- Volume 10 : Physics and Number Theory
- Volume 09 : Differential Equations and Quantum Groups
- Volume 08 : AdS/CFT Correspondence : Einstein Metrics and Their Conformal Boundaries
- Volume 07 : Numerical Methods for Hyperbolic and Kinetic Problems
- Volume 06 : Metric Spaces, Convexity and Nonpositive Curvature
- Volume 05 : Infinite Dimensional Groups and Manifolds
- Volume 04 : Three Courses on Partial Differential Equations
- Volume 03 : From Combinatorics to Dynamical Systems
