3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…