3 papers
math.CT2026
Towards Koszulity for categorical structures: category of 2-nets
Slava Pimenov, Angel Toledo
Recently Batanin and Markl developed a theory of Koszul duality for operads over a general operadic category in the spirit of Ginzburg-Kapranov. However, their approach doesn't app…
math.AG2025
Tensor-Hochschild complex
Slava Pimenov, Angel Toledo
Let be a monoidal dg-category. We construct a complex controlling the deformation of the monoidal structure on together with the deformation…
math.AG2024
Gelfand-Fuchs cohomology for affine superspaces A^(m,n)
Slava Pimenov
We study the cohomology of Lie superalgebra of vector fields on affine super-spaces with trivial coefficients. In this paper we extend the methodology developed…