Automorphisms of Surfaces after Nielsen and Thurston

by Andrew J. Casson, Steven A. Bleiler

Overview

This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology. In particular it provides a concise exposition of the work of Neilsen and Thurston on the automorphisms of surfaces. The reader requires only an understanding of basic topology and linear algebra, while the early chapters on hyperbolic geometry and geometric structures on surfaces can profitably be read by anyone with a knowledge of standard Euclidean geometry desiring to learn more abour other 'geometric structures'.

Product Details

ISBN-13:	9780521349857
Publisher:	Cambridge University Press
Publication date:	08/18/1988
Series:	London Mathematical Society Student Texts , #9
Edition description:	New Edition
Pages:	112
Product dimensions:	6.02(w) x 8.98(h) x 0.39(d)

Table of Contents

Preface; Introduction; 1. The hyperbolic plane H2; 2. Hyberbolic structures on surfaces; 3. Geodesic laminations; 4. Structure of geodesic laminations; 5. Surface automorphisms; 6. Pseudo-Anosov automorphisms; References; Index.