61 citations · 438 across the 47 of their papers we have counts for
11 papers · 1 filter
Quantization of the Momentum Map via -adapted Formalities
Chiara Esposito, Ryszard Nest, Jonas Schnitzer +1
In this note, we provide a proof of the existence and complete classification of -invariant star products with quantum momentum maps on Poisson manifolds by means of an equivari…
Quantization of Hamiltonian coactions via twist
Pierre Bieliavsky, Chiara Esposito, Ryszard Nest
In this paper we introduce a notion of quantum Hamiltonian (co)action of Hopf algebras endowed with Drinfel'd twist structure (resp., 2-cocycles). First, we define a classical Hami…
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…