4 citations · 4 across the 2 of their papers we have counts for
7 papers
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…
Quantum Groups, the loop Grassmannian, and the Springer resolution
Sergey Arkhipov, Roman Bezrukavnikov, Victor Ginzburg
We establish equivalences of derived categories of the following 3 categories: (1) Principal block of representations of the quantum at a root of 1; (2) G-equivariant coherent shea…
Algebraic construction of contragradient quasi-Verma modules in positive characteristic
Sergey Arkhipov
In the present paper we investigate a new class of infinite-dimensional modules over the hyperalgebra of a semi-simple algebraic group in positive chararacteristic called quasi-Ver…
Semiinfinite cohomology of Lie-* algebras
Sergey Arkhipov
We construct a geometric version of BRST cohomology complex of a chiral module over a Lie-* algebra using the language of differential graded Lie algebroids in the category of D-mo…
Semiinfinite cohomology of Tate Lie algebras
Sergey Arkhipov
In this note we give a definition of semiinfinite cohomology for Tate Lie algebras using the language of Differential Graded Lie algebroids with Curvature (CDG Lie algebroids).
Semiinfinite cohomology of contragradient Weyl modules over small quantum groups
Sergey Arkhipov
In this paper we construct some quantum analogues of the global Cousin complex for the flag variety in positive characteristic. Just like in the positive characteristic case, we ob…