Presentations of Noneffective Orbifolds

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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.
19 pages

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Algebraic Topology, Differential Geometry, Symplectic Geometry, 58H05; 57S10, 18F99

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http://salesiana.dossiersoluciones.com/handle/123456789/66537

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302182
 http://arxiv.org/abs/math/0302182

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arXiv