This article was widely circulated as a preprint, about 12 years ago. At that time the Bulletin
did not accept research announcements, and after a couple of attempts to publish it, I gave …

This book offers an easy and compact access to the theory of TeichmA1/4ller spaces,
starting from the most elementary aspects to the most recent developments, eg the role this …

In this paper we will use methods of Riemann surface theory, particularly that of Teichmdtller
theory, to solve a problem in topological dynamics. We are interested in the piecewise order …

Various problems of geometry, topology and dynamical systems on surfaces as well as
some questions concerning one-dimensional dynamical systems lead to the study of closed …

The main goal of the book is to present a proof of the following. Thurston's Hyperbolization
Theorem (" The Big Monster"). Suppose that M is a compact atoroidal Haken 3-manifold that …

The Teichmüller space T (X) is the space of marked conformal structures on a given
quasiconformal surface X. This volume uses quasiconformal mapping to give a unified and …

The criterion proved in this paper was stated by Thurston in November 1982. Thurston
lectured on its proof on several occasions, notably at the NSF summer conference in Duluth …

Consider the moduli space of pairs (C, ω) where C is a smooth compact complex curve of a
given genus and ω is a holomorphic 1-form on C with a given list of multiplicities of zeroes …

Let F= F~ r be the mapping class group of a surface F of genus g with s punctures and r
boundary components. The purpose of this paper is to establish cohomology properties of F …

This book contains an exposition of results of William Thurston on the theory of surfaces:
measured foliations, the natural compactification of Teichmüller space, and the classification …