Presentations of Noneffective Orbifolds
Algebraic Topology
2007-05-23 v1 Differential Geometry
Symplectic Geometry
Abstract
It is well-known that an effective orbifold M (one for which the local stabilizer groups act effectively) can be presented as a quotient of a smooth manifold P by a locally free action of a compact lie group K. We use the language of groupoids to provide a partial answer to the question of whether a noneffective orbifold can be so presented. We also note some connections to stacks and gerbes.
Cite
@article{arxiv.math/0302182,
title = {Presentations of Noneffective Orbifolds},
author = {Andre Henriques and David Metzler},
journal= {arXiv preprint arXiv:math/0302182},
year = {2007}
}
Comments
19 pages