William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
Author(s): William P. Thurston
Publisher: American Mathematical Society
Year: 2022
Language: English
Pages: 336
City: Providence
Cover
1/2 title
Title page
Copyright page
Contents
Publisher’s note
Editor’s preface
Introduction
Geometry and three-manifolds
Elliptic and hyperbolic geometry
Geometric structures on manifolds
Hyperbolic Dehn surgery
Flexibility and rigidity of geometric structures
Gromov’s invariant and the volume of a hyperbolic manifold
Computation of volume
Kleinian groups
Algebraic convergence
Note
Deforming Kleinian manifolds by homeomorphisms of the sphere at infinity
Orbifolds
Index
Other titles in this series
Back Cover
