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The diffeomorphism group of a non-compact orbifold

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Schmeding A.

Instytut Matematyczny Polskiej Akademii Nauk

We endow the diffeomorphism group $Diff_{Orb}(Q,𝓤)$ of a paracompact (reduced) orbifold with the structure of an infinite-dimensional Lie group modeled on the space of compactly supported sections of the tangent orbibundle. For a second countable orbifold, we prove that $Diff_{Orb}(Q,𝓤)$ is C⁰-regular, and thus regular in the sense of Milnor. Furthermore, an explicit characterization of the Lie algebra associated to $Diff_{Orb}(Q,𝓤)$ is given.

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1 Schmeding A.

1 2015

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The diffeomorphism group of a non-compact orbifold