3 citations · 3 across the 6 of their papers we have counts for
6 papers
L-manifolds
Slava Pimenov
The notion of a Frobenius manifold appears in relation to various topics in algebraic and analytic geometry, such and quantum cohomology, deformation of meromorphic connections, un…
Gelfand-Fuchs cohomology for affine superspaces A^(n,1)
Slava Pimenov
We study the cohomology of Lie superalgebra of vector fields on affine super-spaces with trivial coefficients. Previously known results covered the classical cas…
Planar Prop of Differential Operators
Slava Pimenov
We propose a definition of differential operators of an associative algebra in the spirit of Hochschild cohomology. Specifically we define as the zero cohomology of a ce…
Monadicity of localization for Lie super-algebras
Slava Pimenov
We study the localization functor from the category of representation of Lie super-algebra into monodromic D-modules on the flag manifold $X =…
Shifted Poisson and Batalin-Vilkovisky structures on the derived variety of complexes
Slava Pimenov
We study the shifted Poisson structure on the cochain complex C*(g) of a graded Lie algebra arising from shifted Lie bialgebra structure on g. We apply this to construct a 1-shifte…
Derived varieties of complexes and Kostant's theorem for gl(m|n)
Mikhail Kapranov, Svyatoslav Pimenov
Given a graded vector space V, the variety of complexes Com(V) consists of all differentials making V into a cochain complex. This variety was first introduced by Buchsbaum and Eis…