Presentations of noneffective orbifolds
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- by Andre Henriques and David S. Metzler PDF
- Trans. Amer. Math. Soc. 356 (2004), 2481-2499 Request permission
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.References
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Additional Information
- Andre Henriques
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 733070
- Email: andrhenr@mit.edu
- David S. Metzler
- Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
- Email: metzler@math.ufl.edu
- Received by editor(s): February 12, 2003
- Received by editor(s) in revised form: April 29, 2003
- Published electronically: February 2, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 2481-2499
- MSC (2000): Primary 58H05; Secondary 57S10, 18F99
- DOI: https://doi.org/10.1090/S0002-9947-04-03379-3
- MathSciNet review: 2048526