Lie n-groupoids and stacky Lie groupoids TeX Export

@misc{citeulike:2782948, abstract = {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.}, archivePrefix = {arXiv}, author = {Zhu, Chenchang}, citeulike-article-id = {2782948}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0609420v5}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0609420v5}, day = {13}, eprint = {math/0609420v5}, keywords = {2-groupoids, groupoids, hypergroupoids, manifolds, n-groupoids, stacks}, month = {Nov}, posted-at = {2008-05-10 15:25:12}, priority = {2}, title = {Lie n-groupoids and stacky Lie groupoids}, url = {http://arxiv.org/abs/math/0609420v5}, year = {2006} }

TY - ELEC ID - citeulike:2782948 L3 - citeulike-article-id:2782948 N2 - 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. TI - Lie n-groupoids and stacky Lie groupoids KW - 2-groupoids KW - groupoids KW - hypergroupoids KW - manifolds KW - n-groupoids KW - stacks AU - Zhu, Chenchang PY - 2006/Nov/13/ UR - http://arxiv.org/abs/math/0609420v5 ER -