Igor Baskov

activity

20232025

collaborators

3 papers

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.AT2024

The splitting of the de Rham cohomology of soft function algebras is multiplicative

Igor Baskov

Let $A$ be a real soft function algebra. In arXiv:2208.11431 we have obtained a canonical splitting $\mathrm{H}^* (Ω^\bullet _{A|\mathrm{R}}) \cong \mathrm{H} ^* (X,\mathrm{R})\opl…

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…