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The naive Milnor-Witt \(K\)-theory relations in the stable motivic homotopy groups over a base. (English) Zbl 1483.14041

Summary: We extend the canonical homomorphism between the (naive) Milnor-Witt \(K\)-theory presheaf and the presheaf of stable motivic homotopy groups \[ \mathrm{K}^{\mathrm{MW}}_n(\text{--})\to\pi^{n,n}_s(\text{--}),\quad n\in\mathbb Z, \] from the base field case to the case of any base scheme \(S\).

MSC:

14F42 Motivic cohomology; motivic homotopy theory
19E08 \(K\)-theory of schemes
19E20 Relations of \(K\)-theory with cohomology theories
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References:

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