Panoramas et Synthèses 2003; 167 pp; softcover Number: 15 ISBN10: 285629152X ISBN13: 9782856291528 List Price: US$36 Member Price: US$28.80 Order Code: PASY/15
 Orbifolds locally look like quotients of manifolds by finite group actions. They play an important role in the study of proper actions of discrete groups on manifolds. This monograph presents recent fundamental results on the geometry and topology of 3dimensional orbifolds, with an emphasis on their geometric properties. It is suitable for graduate students and research mathematicians interested in geometry and topology. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in geometry and topology. Table of Contents  Introduction
 Thurston's eight geometries
 Orbifolds
 Decompositions of orientable 3orbifolds
 Haken orbifolds
 Seifert orbifolds
 Hyperbolic orbifolds
 Varieties of representations
 Volumes and hyperbolic Dehn filling
 The Orbifold Theorem
 Bibliography
 Index
