Deligne groupoid revisited
Algebraic Topology
2015-05-26 v4 Differential Geometry
Abstract
We show that for a differential graded Lie algebra whose components vanish in degrees below -1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simplicial set of -valued differential forms introduced by V.Hinich.
Cite
@article{arxiv.1211.6603,
title = {Deligne groupoid revisited},
author = {Paul Bressler and Alexander Gorokhovsky and Ryszard Nest and Boris Tsygan},
journal= {arXiv preprint arXiv:1211.6603},
year = {2015}
}