Kan replacement of simplicial manifolds
Differential Geometry
2015-05-13 v3 Algebraic Topology
Abstract
We establish a functor from local Kan simplicial manifolds to weak Kan simplicial manifolds. It gives a solution to the problem of extending local Lie groupoids to Lie 2-groupoids.
Cite
@article{arxiv.0812.4150,
title = {Kan replacement of simplicial manifolds},
author = {Chenchang Zhu},
journal= {arXiv preprint arXiv:0812.4150},
year = {2015}
}
Comments
19 pages, 11 figures, Lemma 2.2 improved, Prop.-Def. 2.3 modified. to appear in Letters in Mathematical Physics