<p><P>This classic book 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 Thurstonβs hyperbolization theorem, one of the central results of 3-di
Hyperbolic Manifolds and Discrete Groups
β Scribed by Michael Kapovich
- Year
- 2009
- Tongue
- English
- Leaves
- 446
- Edition
- 1st ed. 2001. 2nd. printing
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 Thurstonβs 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.
π SIMILAR VOLUMES
Including presentations by field authorities describing the state of current research, a workshop was held on Kleinian groups and hyperbolic 3-manifolds in September 2001. This volume includes a selection of workshop contributions representative of its extremely high standards. Beginning graduate s