Geometrization of 3-dimensional orbifolds
Geometric Topology
2007-05-23 v3
Abstract
The purpose of this article is to give a proof of the Orbifold Theorem announced by Thurston in late 1981: If is a compact, connected, orientable, irreducible and topologically atoroidal 3-orbifold with non-empty ramification locus, then is geometric. As a corollary, any smooth orientation preserving non-free finite group action on is conjugate to an orthogonal action.
Cite
@article{arxiv.math/0010184,
title = {Geometrization of 3-dimensional orbifolds},
author = {Michel Boileau and Bernhard Leeb and Joan Porti},
journal= {arXiv preprint arXiv:math/0010184},
year = {2007}
}
Comments
Revised version (one single paper instead of the previous 2)