129 citations · 692 across the 54 of their papers we have counts for
11 papers · 1 filter
Cherednik algebras, W algebras and the equivariant cohomology of the moduli space of instantons on A^2
Olivier Schiffmann, Eric Vasserot
We construct a representation of the affine W-algebra of gl_r on the equivariant homology space of the moduli space of U_r-instantons on A^2, and identify the corresponding module.…
Heisenberg algebras and rational double affine Hecke algebras
P. Shan, Eric Vasserot
In this paper we categorify the Heisenberg action on the Fock space via the category O of cyclotomic rational double affine Hecke algebras. This permits us to relate the filtration…
Hall algebras of curves, commuting varieties and Langlands duality
O. Schiffmann, E. Vasserot
We construct an isomorphism between the (universal) spherical Hall algebra of a smooth projective curve of genus g and a convolution algebra in the (equivariant) K-theory of the ge…
The elliptic Hall algebra and the equivariant K-theory of the Hilbert scheme of
Olivier Schiffmann, Eric Vasserot
In this paper we compute the convolution algebra in the equivariant K-theory of the Hilbert scheme of A^2. We show that it is isomorphic to the elliptic Hall algebra, and hence to…
The elliptic Hall algebra, Cherednick Hecke algebras and Macdonald polynomials
Olivier Schiffmann, Eric Vasserot
We show that the Hall algebra of the category of coherent sheaves on an elliptic curve (or, equivalently, the algebra of unramified automorphic forms for GL(n) for all n) is equal…
Perverse sheaves and quantum Grothendieck rings
Michela Varagnolo, Eric Vasserot
We define a quantum analogue of the Grothendieck ring of finite dimensional modules of a quantum affine algebra of simply laced type. The construction is based on perverse sheaves…