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- W4313533096 abstract "The category of topological spaces endowed with two marked points is equipped with two families $mathbf F_n$ and $mathbf H_n$ of functors to the category of abelian groups, indexed by a nonnegative integer $n$: namely, the functor $mathbf F_n$ takes the object $(X,x,y)$ to the quotient of $mathbb Zpi_1(X,x,y)$ by an abelian subgroup associated with the $n+1$-st power of the augmentation ideal of the group algebra $mathbb Zpi_1(X,x)$, and the functor $mathbf H_n$ takes the same object to the $n$-th singular homology group of $X^n$ relative to a subspace defined in terms of partial diagonals. We construct a family of natural transformations $nu_n : mathbf F_nto mathbf H_n$. We identify the natural transformation obtained by restricting $nu_n$ to the subcategory of algebraic varieties with a natural equivalence due to Beilinson." @default.
- W4313533096 created "2023-01-06" @default.
- W4313533096 creator A5083422392 @default.
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- W4313533096 date "2023-01-03" @default.
- W4313533096 modified "2023-10-16" @default.
- W4313533096 title "Natural transformations relating homotopy and singular homology functors" @default.
- W4313533096 doi "https://doi.org/10.48550/arxiv.2301.01157" @default.
- W4313533096 hasPublicationYear "2023" @default.
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