Year: 2009
Type: article
Abstract: We discuss two generalizations of Lie groupoids. One consists of Lie n-groupoids defined as simplicial manifolds with trivial πk≥ n+1. The other consists of stacky Lie groupoids with a differentiable stack. We build a 1–1 correspondence between Lie 2-groupoids and stacky Lie groupoids up to a certain Morita equivalence. We prove this in a general setup so that the statement is valid in both differential and topological categories. Hypercovers of higher groupoids in various categories are also described.
DOI: 10.1093/imrn/rnp080
Author: C. Zhu
Institution: University of Göttingen
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Northwestern University
OpenAlex ID: W2164880869