| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659509 | Topology and its Applications | 2012 | 31 Pages |
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 étale 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 on (Pre-Orb) and Morita equivalence in (Grp). We prove that F induces a bijection between the equivalence classes of its source and target.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
