17 citations · 31 across the 4 of their papers we have counts for
15 papers
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…
From double affine Hecke algebras to quantized affine Schur algebras
Michela Varagnolo, Eric Vasserot
We prove that the double affine Hecke algebra of type A is Morita equivalent to the quantized affine Schur algebra.
Induced and simple modules of double affine Hecke algebras
E. Vasserot
We classify the simple integrable modules of double affine Hecke algebras via perverse sheaves. We get also some estimate for the Jordan-Holder multiplicities of induced modules.
Canonical bases and quiver varieties
M. Varagnolo, E. Vasserot
We prove the existence of canonical bases in the K-theory of quiver varieties. This existence was conjectured by Lusztig.
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…