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Surveying a vast theory like Teichmüller theory is like surveying a land, and the various chapters in this Handbook are like a collection of maps forming an atlas: some of them give a very general overview of the field, others give a detailed view of some crowded area, and others are more focussed on interesting details. There are intersections between the chapters, and these intersections are necessary. They are also valuable, because they are written by different persons, having different ideas on what is essential, and (to return to the image of a geographical atlas) using their proper color pencil set | IRMA Lectures in Mathematics and Theoretical Physics 17 Edited by Christian Kassel and Vladimir G. Turaev Institut de Recherche Mathématique Avancée CNRS et Université de Strasbourg 7 rue René Descartes 67084 Strasbourg Cedex France IRMA Lectures in Mathematics and Theoretical Physics Edited by Christian Kassel and Vladimir G. Turaev This series is devoted to the publication of research monographs lecture notes and other material arising from programs of the Institut de Recherche Mathématique Avancée Strasbourg France . The goal is to promote recent advances in mathematics and theoretical physics and to make them accessible to wide circles of mathematicians physicists and students of these disciplines. Previously published in this series 1 Deformation Quantization Gilles Halbout Ed. 2 Locally Compact Quantum Groups and Groupoids Leonid Vainerman Ed. 3 From Combinatorics to Dynamical Systems Frédéric Fauvet and Claude Mitschi Eds. 4 Three courses on Partial Differential Equations Eric Sonnendrucker Ed. 5 Infinite Dimensional Groups and Manifolds Tilman Wurzbacher Ed. 6 Athanase Papadopoulos Metric Spaces Convexity and Nonpositive Curvature 7 Numerical Methods for Hyperbolic and Kinetic Problems Stéphane Cordier Thierry Goudon Michael Gutnic and Eric Sonnendrucker Eds. 8 AdS CFT Correspondence Einstein Metrics and Their Conformal Boundaries Oliver Biquard Ed. 9 Differential Equations and Quantum Groups D. Bertrand B. Enriquez C. Mitschi C. Sabbah and R. Schafke Eds. 10 Physics and Number Theory Louise Nyssen Ed. 11 Handbook of Teichmuller Theory Volume I Athanase Papadopoulos Ed. 12 Quantum Groups Benjamin Enriquez Ed. 13 Handbook of Teichmuller Theory Volume II Athanase Papadopoulos Ed. 14 Michel Weber Dynamical Systems and Processes 15 Renormalization and Galois Theories Alain Connes Frédéric Fauvet and Jean-Pierre Ramis Eds. 16 Handbook of Pseudo-Riemannian Geometry and Supersymmetry Vicente Cortés Ed. 18 Strasbourg Master Class on Geometry Athanase Papadopoulos .
