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

Joseph E. Borzellino·Victor Brunsden
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Abstract

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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Joseph E. Borzellino, Victor Brunsden. 2009-02-07. A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold. https://arxiv.org/abs/math/0608526

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