Spherical CR geometry and Dehn surgery , by Richard

نویسنده

  • Richard Evan Schwartz
چکیده

The ideas in this book revolve around a central theorem, the horotube surgery theorem, which is mainly of interest to specialists in complex hyperbolic geometry; see Section 6 below. This book is the culmination of several important papers by Schwartz in this area, which we describe in Section 4 below. As well as the main theorem, this book contains background material and applications. It may be used as an introduction to Schwartz’s contribution to complex hyperbolic geometry as well as to the subject as a whole, and it is accessible to non-specialists. In this review we will give some of the historical background, discuss the horotube surgery theorem, and describe its applications. This plan follows the book and touches on several themes it contains.

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تاریخ انتشار 2009