Igor Baskov

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20232025

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math.AC2025

Isomorphic Loday functors of non-homeomorphic spaces

Igor Baskov

Each commutative algebra $A$ gives rise to a representation $L_{A}$ , which we call the Loday functor of $A$ , of the category $Ω$ of finite sets and surjective maps. In this…

math.AC2023

The de Rham cohomology of the algebra of polynomial functions on a simplicial complex

Igor Baskov

We consider the algebra $A^{0} (X)$ of polynomial functions on a simplicial complex $X$ . The algebra $A^{0} (X)$ is the $0$ th component of Sullivan's dg-algebra $A^{∙} (X)$ of poly…