11 citations · 12 across the 3 of their papers we have counts for
10 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…
Toric arc schemes and quantum cohomology of toric varieties
Sergey Arkhipov, Mikhail Kapranov
We describe the quantum cohomology ring of a toric Fano variety in terms of the usual topological cohomology ring for an auxiliary infinite-dimensional scheme. This scheme is a…
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
M. Kapranov
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair c…
The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties
J. Franecki, M. Kapranov
For an irreducible subvariety Z in an algebraic group G we define a nonnegative integer gdeg(Z) as the degree, in a certain sense, of the Gauss map of Z. It can be regarded as a su…
Derived Quot schemes
I. Ciocan-Fontanine, M. Kapranov
Realizing a part of the Derived Deformation Theory program, we construct a "derived" analog of the Grothendieck's Quot scheme parametrizing subsheaves in a given coherent sheaf F o…