17 citations · 31 across the 4 of their papers we have counts for
6 papers · 1 filter
Formal loops IV: Chiral differential operators
M. Kapranov, E. Vasserot
We relate the gerbe of sheaves of chiral differential operators (CDO) on a algebraic variety X, studied by Gorbounov, Malikov and Schechtman, to the determinantal gerbe of the form…
Formal loops II: A local Riemann-Roch theorem for determinantal gerbes
M. Kapranov, E. Vasserot
If V is a bundle of Tate vector spaces over a base B, its determinantal gerbe has a class C_1(V) in the second cohomology group of the sheaf of invertible functions which can be se…
Vertex algebras and the formal loop space
M. Kapranov, E. Vasserot
We introduce an algebro-geometric version of the free loop space for any scheme X of finite type. This is an ind-scheme of ind-infinite type containing the scheme of formal germs o…
On the action of the dual group on the cohomology of perverse sheaves on the affine grassmannian
E. Vasserot
It was proved by Ginzburg and Mirkovic-Vilonen that the -equivariant perverse sheaves on the affine grassmannian of a connected reductive group form a tensor category equ…
On the K-theory of the cyclic quiver variety
Michela Varagnolo, Eric Vasserot
We compute the convolution product on the equivariant K-groups of the cyclic quiver variety. We get a q-analogue of double-loop algebras, closely related to the toroidal quantum gr…
Kleinian singularities, derived categories and Hall algebras
M. Kapranov, E. Vasserot
We describe the derived category of coherent sheaves on the minimal resolution of the Kleinian singularity associated to a finite subgroup G of SL(2). Then, we give an application…