2003/02/15 by Andre Henriques, Henriques, Andre, David Metzler +1 · 1 citation
Mathematics · #18F99 #57S10 #58H05 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AT #math.DG #math.SG #msc:18F99 #msc:57S10 #msc:58H05
paper · pdf · doi:10.48550/arxiv.math/0302182
19 pages
arxiv created 2003/02/15 · arxiv updated 2009/11/30
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.