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arXiv · 1809.00087

The homomorphism of presheaves ${\mathrm{K}}^\mathrm{MW}_*\to {\pi}^{*,*}_s$ over a base

A. Druzhinin
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Abstract

We construct the homomorphism of presheaves ${\mathrm{K}}^\mathrm{MW}_* \to {\pi}^{*,*}$ over an arbitrary base scheme $S$, where $\mathrm{K}^\mathrm{MW}$ is the (naive) Milnor-Witt K-theory presheave. Also we discuss some partly alternative proof (or proofs) of the isomorphism of sheaves $\unKMW_n\simeq \underline{\pi}^{n,n}_s$, $n\in \mathbb Z$, over a filed $k$ originally proved in \cite{M02} and \cite{M-A1Top}.

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A. Druzhinin. 2018-08-31. The homomorphism of presheaves ${\mathrm{K}}^\mathrm{MW}_*\to {\pi}^{*,*}_s$ over a base. https://doi.org/10.2140/akt.2021.6.651

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