Deligne groupoid revisited

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.

References in corpus (3)

• Deformation quantization of Poisson manifolds, I
• Higher Topos Theory
• Homotopy coherent nerve in Deformation theory

Cited by in corpus (1)

• A Version of the Goldman-Millson Theorem for Filtered L-infinity Algebras