Outer circles: An introduction to hyperbolic 3-Manifolds


Research output: Book/ReportBook

60 Scopus citations


We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations.

Original languageEnglish (US)
PublisherCambridge University Press
Number of pages427
ISBN (Electronic)9780511618918
ISBN (Print)9780521839747
StatePublished - Jan 1 2007

Bibliographical note

Publisher Copyright:
© A. Marden, 2007.


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