Descent of Deligne-Getzler $\infty$-groupoids

Abstract

We prove that Getzler's higher generalization of the Deligne groupoid commutes with totalization and homotopy limits.

v3: minor corrections. Comments are welcome!

References in corpus (4)

• Higher Topos Theory
• Representing the deformation $\infty$-groupoid
• The infinity Quillen functor, Maurer-Cartan elements and DGL realizations
• Maurer-Cartan elements and homotopical perturbation theory

Cited by in corpus (4)

• Derived Differentiable Manifolds
• Convolution algebras and the deformation theory of infinity-morphisms
• A model structure for the Goldman-Millson theorem
• Cumulants, Koszul brackets and homological perturbation theory for commutative $B{V}_{\infty }$ and $IB{L}_{\infty }$ algebras