26 citations · 119 across the 24 of their papers we have counts for
10 papers · 1 filter
Odd transgression for Courant algebroids
Paul Bressler, Camilo Rengifo
The "odd transgression" introduced by the authors in an earlier article is applied to construct and study the inverse image functor in the theory of Courant algebroids.
On higher-dimensional Courant algebroids
Paul Bressler, Camilo Rengifo
We define the transgression functor which associates to a (higher-dimensional) Courant algebroid on a manifold a Lie algebroid on the shifted tangent bundle of the manifold.
On quasi-classical limits of DQ-algebroids
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
We determine the additional structure which arises on the classical limit of a DQ-algebroid.
Formality theorem for gerbes
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
We extend the formality theorem of Maxim Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes on smooth and complex manifolds.
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…
Polarized deformation quantization
P. Bressler, J. Donin
Let be a star product on a symplectic manifold , its Fedosov class, where is a deformation of . We prove that for a complex polarization of $…