The purpose of this volume and of the other volumes in the same
series is to provide a collection of surveys that allows the reader
to learn the important aspects of William Thurston's heritage.
Thurston's ideas have altered the course of twentieth century
mathematics, and they continue to have a significant influence on
succeeding generations of mathematicians. The topics covered in the
present volume include com-plex hyperbolic Kleinian groups, Moebius
structures, hyperbolic ends, cone 3-manifolds, Thurston's norm,
surgeries in representation varieties, triangulations, spaces of
polygo-nal decompositions and of singular flat structures on
surfaces, combination theorems in the theories of Kleinian groups,
hyperbolic groups and holomorphic dynamics, the dynamics and
iteration of rational maps, automatic groups, and the combinatorics
of right-angled Artin groups.
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