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William 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 purpose of the present volume and of the other volumes in the same series is to provide a collection of articles that allows the reader to learn the important aspects of Thurston’s heritage. The topics covered in this volume include Kleinian groups, holomorphic motions, earthquakes from the Anti-de Sitter point of view, the Thurston and Weil–Petersson metrics on Teichmüller space, 3-manifolds, geometric structures, dynamics on surfaces, homeomorphism groups of 2-manifolds and the theory of orbifolds.
Preface
Introduction
The Geometry of the Thurston Metric: A Survey
Thurston's Metric on the Teichmüller Space of Flat Tori
The Anti-de Sitter Proof of Thurston's Earthquake Theorem
Homeomorphism Groups of Self-Similar 2-Manifolds
Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type
Kleinian Groups and Geometric Function Theory
Thurston's Broken Windows Only Theorem Revisited
Geometric Structures in Topology, Geometry, Global Analysis and Dynamics
Counting Problems for Invariant Point Processes
Orbifolds and the Modular Curve
Some Footnotes on Thurston's Notes The Geometry and Topology of 3-Manifolds
Index