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Handbook of Teichmüller Theory, Vol...

Papadopoulos, Athanase,

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Handbook of Teichmüller Theory, Volume II

Record Type:	Electronic resources : Monograph/item
Title/Author:	Handbook of Teichmüller Theory, Volume II/ Athanase Papadopoulos
other author:	Papadopoulos, Athanase,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2009,
Description:	1 online resource (883 pages)
Subject:	Complex analysis -
Online resource:	https://doi.org/10.4171/055
Online resource:	https://www.ems-ph.org/img/books/irma13_mini.jpg
ISBN:	9783037195550

Handbook of Teichmüller Theory, Volume II
Handbook of Teichmüller Theory, Volume II[electronic resource] /Athanase Papadopoulos - Zuerich, Switzerland :European Mathematical Society Publishing House,2009 - 1 online resource (883 pages) - IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;132523-5133 ;.

Introduction to Teichmüller theory, old and new, II /Athanase Papadopoulos --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037195550

Standard No.: 10.4171/055doiSubjects--Topical Terms:

3480831
Complex analysis

Handbook of Teichmüller Theory, Volume II
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505 0 0 $t Introduction to Teichmüller theory, old and new, II / $r Athanase Papadopoulos -- $t The Weil-Petersson metric geometry / $r Scott A. Wolpert -- $t Infinite dimensional Teichmüller spaces / $r Alastair Fletcher, Vladimir Markovic -- $t A construction of holomorphic families of Riemann surfaces over the punctured disk with given monodromy / $r Yoichi Imayoshi -- $t The uniformization problem / $r Robert Silhol -- $t Riemann surfaces, ribbon graphs and combinatorial classes / $r Gabriele Mondello -- $t Canonical 2-forms on the moduli space of Riemann surfaces / $r Nariya Kawazumi -- $t Quasi-homomorphisms on mapping class groups / $r Koji Fujiwara -- $t Lefschetz fibrations on 4-manifolds / $r Mustafa Korkmaz, András I. Stipsicz -- $t Introduction to measurable rigidity of mapping class groups / $r Yoshikata Kida -- $t Affine groups of flat surfaces / $r Martin Möller -- $t Braid groups and Artin groups / $r Luis Paris -- $t Complex projective structures / $r David Dumas -- $t Circle packing and Teichmüller space / $r Sadayoshi Kojima -- $t (2+1) Einstein spacetimes of finite type / $r Riccardo Benedetti, Francesco Bonsante -- $t Trace coordinates on Fricke spaces of some simple hyperbolic surfaces / $r William M. Goldman -- $t Spin networks and SL(2,ℂ)-character varieties / $r Sean Lawton, Elisha Peterson -- $t Grothendieck's reconstruction principle and 2-dimensional topology and geometry / $r Feng Luo -- $t Dessins d'enfants and origami curves / $r Frank Herrlich, Gabriela Schmithüsen -- $t The Teichmüller theory of the solenoid / $r Dragomir Šarić.
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
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700 1 $a Papadopoulos, Athanase, $e editor. $3 3480884
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