Hyperbolic Manifolds and Discrete Groups

Hyperbolic Manifolds and Discrete Groups
Author :
Publisher : Springer Science & Business Media
Total Pages : 486
Release :
ISBN-10 : 9780817649135
ISBN-13 : 0817649131
Rating : 4/5 (131 Downloads)

Book Synopsis Hyperbolic Manifolds and Discrete Groups by : Michael Kapovich

Download or read book Hyperbolic Manifolds and Discrete Groups written by Michael Kapovich and published by Springer Science & Business Media. This book was released on 2009-08-04 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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