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arXiv · 1301.5551

The diffeomorphism group of a non-compact orbifold

Alexander Schmeding
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Abstract

We endow the diffeomorphism group of a paracompact (reduced) orbifold with the structure of an infinite dimensional Lie group modelled on the space of compactly supported sections of the tangent orbibundle. For a second countable orbifold, we prove that this Lie group is C^0-regular and thus regular in the sense of Milnor. Furthermore an explicit characterization of the Lie algebra associated to the diffeomorphism group of an orbifold is given.

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Alexander Schmeding. 2015-03-02. The diffeomorphism group of a non-compact orbifold. https://doi.org/10.4064/dm507-0-1

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