Hyperbolic Manifolds and Discrete Groups pdf epub fb2

Hyperbolic Manifolds and Discrete Groups by Michael Kapovich pdf epub fb2

Hyperbolic Manifolds and Discrete Groups Author: Michael Kapovich
Title: Hyperbolic Manifolds and Discrete Groups
ISBN: 0817639047
ISBN13: 978-0817639044
Other Formats: mbr txt doc docx
Pages: 467 pages
Publisher: Birkhäuser; 1 edition (November 3, 2000)
Language: English
Category: Science & Math
Size PDF version: 1650 kb
Size EPUB version: 1895 kb
Subcategory: Mathematics




Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology.

The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.