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Three-dimensional Orbifolds and Their Geometric Structures
Michel Boileau, Université Paul Sabatier, Toulouse, France, Sylvain Maillot, Université Louis Pasteur, Strasbourg, France, and Joan Porti, Universitat Autónoma de Barcelona, Bellaterra, Spain
A publication of the Société Mathématique de France.
Panoramas et Synthèses
2003; 167 pp; softcover
Number: 15
ISBN-10: 2-85629-152-X
ISBN-13: 978-2-85629-152-8
List Price: US$36
Member Price: US$28.80
Order Code: PASY/15
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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 3-dimensional 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 3-orbifolds
  • Haken orbifolds
  • Seifert orbifolds
  • Hyperbolic orbifolds
  • Varieties of representations
  • Volumes and hyperbolic Dehn filling
  • The Orbifold Theorem
  • Bibliography
  • Index
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