# Handbook of Teichmuller Theory (IRMA Lectures in Mathematics and Theoretical Physics)

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Posted on 2020-07-29, by books_lover.

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For several decades, Teichmüller theory has been one of the most active research areas in mathematics, with a very wide range of points of view, including Riemann surface theory, hyperbolic geometry, low-dimensional topology, several complex variables, algebraic geometry, arithmetic, partial differential equations, dynamical systems, representation theory, symplectic geometry, geometric group theory, and mathematical physics. This book is the fourth volume in a Handbook of Teichmüller Theory project that started as an attempt to present, in a most comprehensive and systematic way, the various aspects of this theory with its relations to all the fields mentioned. The handbook is addressed to researchers as well as graduate students. This volume is divided into five parts: Part A: The metric and the analytic theory Part B: Representation theory and generalized structures Part C: Dynamics Part D: The quantum theory Part E: Sources Parts A, B, and D are sequels to parts on the same theme i

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