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- W4297659834 abstract "We define a 2-category structure (Pre-Orb) on the category of reduced complex orbifold atlases. We construct a 2-functor F from (Pre-Orb) to the 2-category (Grp) of proper 'etale effective groupoid objects over the complex manifolds. Both on (Pre-Orb) and (Grp) there are natural equivalence relations on objects: (a natural extension of) equivalence of orbifold atlases in (Pre-Orb) and Morita equivalences in (Grp). We prove that F induces a bijection between the equivalence classes of its source and target." @default.
- W4297659834 created "2022-09-30" @default.
- W4297659834 creator A5053137165 @default.
- W4297659834 date "2010-08-05" @default.
- W4297659834 modified "2023-09-26" @default.
- W4297659834 title "Orbifolds and groupoids" @default.
- W4297659834 doi "https://doi.org/10.48550/arxiv.1008.0988" @default.
- W4297659834 hasPublicationYear "2010" @default.
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