4 citations · 4 across the 2 of their papers we have counts for
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math.AG2004
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…
math.AG2001
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…
math.AG2000
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…