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Foreword | Table of Contents | Introduction | Book articles | MARC record | e-Book PDF (11660 KB)#### Handbook of Teichmüller Theory, Volume I

*Editor:*

Athanase Papadopoulos (IRMA, Strasbourg, France)

Athanase Papadopoulos (IRMA, Strasbourg, France)

ISBN print 978-3-03719-029-6, ISBN online 978-3-03719-529-1

DOI 10.4171/029

May 2007, 802 pages, hardcover, 17.0 x 24.0 cm.

98.00 Euro

The Teichmüller space of a surface was introduced by O. Teichmüller
in the 1930s. It is a basic tool in the study of Riemann's moduli
space and of the mapping class group. These objects are fundamental
in several fields of mathematics including algebraic geometry,
number theory, topology, geometry, and dynamics.

The original setting of Teichmüller theory is complex analysis.
The work of Thurston in the 1970s brought techniques of hyperbolic
geometry in the study of Teichmüller space and of its asymptotic
geometry. Teichmüller spaces are also studied from the point of view
of the representation theory of the fundamental group of the surface
in a Lie group `G`, most notably `G` = PSL(2,ℝ)`G` = PSL(2,ℂ)

The purpose of this handbook is to give a panorama of some of
the most important aspects of Teichmüller theory. The handbook
should be useful to specialists in the field, to graduate students,
and more generally to mathematicians who want to learn about the
subject. All the chapters are self-contained and have a pedagogical
character. They are written by leading experts in the subject.

#### Further Information

Review in Zentralblatt MATH 1113.30038