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Accueil > Publications > Lectures in Mathematics & Theoretical Physics > Volume 13 : Handbook of Teichmüler Theory, volume II
Volume 13 : Handbook of Teichmüler Theory, volume II
Editor : Athanase Papadopoulos (IRMA, Strasbourg, France)
ISBN 978-3-03719-055-5 - March 2009, 883 pages, hardcover, 17 x 24 cm.
98.00 Euro
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 present 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 soleniod).
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.
Relevant information and order form are available on EMS web site
Dernière mise à jour le 23-03-2020
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- 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 17 : Handbook of Teichmüller Theory, Volume III
- Volume 16 : Handbook of Pseudo-Riemannian Geometry and Supersymmetry
- Volume 15 : Renormalization and Galois Theories
- Volume 14 : Dynamical Systems and Processes
- 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
