A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold

Details A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold

2006-08-21

arxiv.org/abs/math/0608526v3

Mathematics

Differential Geometry

26 pages, 2 figures, final version

Scientific paper

For a compact, smooth C^r orbifold (without boundary), we show that the
topological structure of the orbifold diffeomorphism group is a Banach manifold
for finite r \ge 1 and a Frechet manifold if r=infty. In each case, the local
model is the separable Banach (Frechet) space of C^r (C^infty, resp.)
orbisections of the tangent orbibundle.

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