Lie n-groupoids and stacky Lie groupoids

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dc.creatorZhu, Chenchang
dc.date2006-09-14
dc.date2006-11-13
dc.date.accessioned2026-07-07T07:24:51Z
dc.date.available2026-07-07T07:24:51Z
dc.descriptionWe discuss two sorts of generalization of Lie groupoids. One is Lie $n$-groupoids defined as simplicial manifolds with trivial $π_{k\geq n+1}$. 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.
dc.description41pages, 10 figures, reference modified
dc.identifierhttps://arxiv.org/abs/math/0609420
dc.identifierhttp://arxiv.org/abs/math/0609420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116522
dc.subjectDifferential Geometry
dc.subjectCategory Theory
dc.subject14Axx; 58Hxx
dc.titleLie n-groupoids and stacky Lie groupoids
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