9 citations · 20 across the 7 of their papers we have counts for
5 papers · 1 filter
Formality for algebroid stacks
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
We extend the formality theorem of M. Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes.
Deformations of algebroid stacks
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
In this paper we consider deformations of an algebroid stack on an etale groupoid. We construct a differential graded Lie algebra (DGLA) which controls this deformation theory. In…
Deformations of gerbes on smooth manifolds
P. Bressler, A. Gorokhovsky, R. Nest +1
We identify the 2-groupoid of deformations of a gerbe on a smooth manifold with the Deligne 2-groupoid of a corresponding twist of the DGLA of local Hochschild cochains on infinite…
Deformations of Azumaya algebras
P. Bressler, A. Gorokhovsky, R. Nest +1
In this paper we compute the deformation theory of a special class of algebras, namely of Azumaya algebras on a manifold ( or complex analytic).
Deformation quantization of gerbes
P. Bressler, A. Gorokhovsky, R. Nest +1
This is the first in a series of articles devoted to deformation quantization of gerbes. Here we give basic definitions and interpret deformations of a given gerbe as Maurer-Cartan…