2006/09/14 by Chenchang Zhu, Zhu, Chenchang
Mathematics · Medicine · #14Axx #58Hxx #Advanced Topics in Algebra #Category Theory (math.CT) #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #math.CT #math.DG #msc:14Axx #msc:58Hxx
paper · pdf · doi:10.48550/arxiv.math/0609420
41pages, 10 figures, reference modified
openalex publication_date 2006/09/14 · arxiv created 2006/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss two sorts of generalization of Lie groupoids. One is Lie n-groupoids defined as simplicial manifolds with trivial πk≥ n+1. The other is the stacky Lie groupoid \cG\rra M with \cG a differentiable stack. We build 1-1 correspondence between Lie 2-groupoids and stacky Lie groupoids up to a certain Morita equivalence. Equivalences of these higher groupoids are described.