Authors:
Includes beautiful illustrations, a rich set of examples of key concepts, numerous exercises
An extensive bibliography and index are complemented by a glossary of terms
Presents the first complete proof of the generic case of Thurston’s hyperbolization theorem
Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (20 chapters)

Front Matter
About this book
Keywords
 3dimensional topology
 Compactification
 Group theory
 Homeomorphism
 Kleinian groups
 Otal's proof
 Rips theory
 Thurston's hyperbolization theorem
 complex analysis
 foliation
 geometric structures on 3manifolds
 hyperbolic geometry
 hyperbolic manifolds
 manifold
 topology
Reviews
From the reviews:
"This book can act as source material for a postgraduate course and as a reference text on the topic as the references are full and extensive . . . The text is selfcontained and very well illustrated."
—Aslib Book Guide
"The book is very clearly written and fairly selfcontained. It will be useful to researchers and advanced graduate students in the field and can serve as an ideal guide to Thurston's work and its recent developments."
—Mathematical Reviews
"We recommend the excellent introduction of the present book for the history of the various contributions, and also for a sketch of the proof itself. . . . This is an important book which had to be written . . . the book contains a lot of material which will be useful for various other directions of research."
—Zentralblatt Math
“Hyperbolic Manifolds and Discrete Groups is an essential text for anyone working in the topology and geometry of 3manifolds. It is largely selfcontained in that it defines all the needed concepts and machinery and often provides proofs of facts that can be found elsewhere in the literature. This book is most valuable for compiling all the needed concepts in one place. This collection is breathtaking in scope … . Kapovich’s book is an excellent, substantial exposition of the varied aspects of the mathematics present.” (Scott Taylor, The Mathematical Association of America, January, 2011)
Authors and Affiliations

Dept. Mathematics, University of California, Davis, Davis, U.S.A.
Michael Kapovich
Bibliographic Information
Book Title: Hyperbolic Manifolds and Discrete Groups
Authors: Michael Kapovich
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/9780817649135
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2010
Softcover ISBN: 9780817649128Published: 28 October 2009
eBook ISBN: 9780817649135Published: 04 August 2009
Series ISSN: 21971803
Series EISSN: 21971811
Edition Number: 1
Number of Pages: XXVI, 470
Number of Illustrations: 78 b/w illustrations
Additional Information: Originally published as volume 183 in the series: Progress in Mathematics
Topics: Topology, Group Theory and Generalizations, Geometry, Manifolds and Cell Complexes (incl. Diff.Topology)