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

Abstract

We construct the homomorphism of presheaves ${\mathrm{K}}_{\ast }^{\mathrm{MW}}\to {\pi }^{\ast ,\ast }$ 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 $\unKMW_n\simeq \underlineπ^{n,n}_s$, $n\in \mathbb{Z}$, over a filed $k$ originally proved in \cite{M02} and \cite{M-A1Top}.

We add a proof of the isomorphism over a field

References in corpus (3)

• MW-motivic complexes
• Framed correspondences and the zeroth stable motivic homotopy group in odd characteristic
• Framed motives of smooth affine pairs

Cited by in corpus (1)

• Framed correspondences and the zeroth stable motivic homotopy group in odd characteristic