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Lie n-groupoids and stacky Lie groupoids by Zhu, Chenchang is a scholarly article available to read on EtoBox.

What is Lie n-groupoids and stacky Lie groupoids about?

We discuss two sorts of generalization of Lie groupoids. One is Lie $n$-groupoids defined as simplicial manifolds with trivial $\pi_{k\geq n+1}$. 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.

Author

Zhu, Chenchang

Published

2006

Language

EN