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Presentations of noneffective orbifolds
Author(s):
Andre
Henriques;
David
S.
Metzler
Journal:
Trans. Amer. Math. Soc.
356
(2004),
2481-2499.
MSC (2000):
Primary 58H05;
Secondary 57S10, 18F99
Posted:
February 2, 2004
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Abstract:
It is well known that an effective orbifold  (one for which the local stabilizer groups act effectively) can be presented as a quotient of a smooth manifold  by a locally free action of a compact Lie group  . 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.
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Additional Information:
Andre
Henriques
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
andrhenr@mit.edu
David
S.
Metzler
Affiliation:
Department of Mathematics, University of Florida, Gainesville, Florida 32611
Email:
metzler@math.ufl.edu
DOI:
10.1090/S0002-9947-04-03379-3
PII:
S 0002-9947(04)03379-3
Keywords:
Orbifolds,
groupoids,
stacks,
gerbes,
group actions
Received by editor(s):
February 12, 2003
Received by editor(s) in revised form:
April 29, 2003
Posted:
February 2, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
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