Spherical CR Geometry and Dehn Surgery (AM-165) (Annals of Mathematics Studies, 165) - Softcover

Schwartz, Richard Evan

Softcover

ISBN 10: 0691128103 ISBN 13: 9780691128108

Publisher: Princeton University Press, 2007

Synopsis

This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3-manifolds which bound complex hyperbolic orbifolds--the only known examples of closed manifolds that simultaneously have these two kinds of geometric structures. The second is a complete understanding of the structure of complex hyperbolic reflection triangle groups in cases where the angle is small. In an accessible and straightforward manner, Richard Evan Schwartz also presents a large amount of useful information on complex hyperbolic geometry and discrete groups.

Schwartz relies on elementary proofs and avoids quotations of preexisting technical material as much as possible. For this reason, this book will benefit graduate students seeking entry into this emerging area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.

About this title

About the Author:

Richard Evan Schwartz is Professor of Mathematics at Brown University.

About this edition

• Publisher: Princeton University Press
• Publication date: 2007
• ISBN 10: 0691128103
• ISBN 13: 9780691128108
• Binding: Paperback
• Edition number: 1
• Number of pages: 200