67 citations · 219 across the 29 of their papers we have counts for
32 papers
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…
Chiral Cartan calculus
Fyodor Malikov, Vadim Schechtman, Boris Tsygan
We study the Gauss-Manin connection on the chiral de Rham complex.
Comparison of spaces associated to DGLA via higher holonomy
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
Fof a nilpotent differential graded Lie algebra whose components vanish in degrees below -1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the…
A microlocal category associated to a symplectic manifold
Boris Tsygan
For a symplectic manifold satisfying some topological condition,we define a special class of modules over the deformation quantization algebra. For any two such modules we construc…
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.