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arXiv · 1211.6603

Deligne groupoid revisited

Paul Bressler·Alexander Gorokhovsky·Ryszard Nest·Boris Tsygan
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Abstract

We show that for a differential graded Lie algebra $\mathfrak{g}$ whose components vanish in degrees below -1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simplicial set of $\mathfrak{g}$-valued differential forms introduced by V.Hinich.

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Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan. 2015-05-23. Deligne groupoid revisited. https://arxiv.org/abs/1211.6603

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