Vol. 6, No. 4, 2021

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The naive Milnor–Witt K-theory relations in the stable motivic homotopy groups over a base

Andrei Druzhinin

Vol. 6 (2021), No. 4, 651–671
DOI: 10.2140/akt.2021.6.651
Abstract

We extend the canonical homomorphism between the (naive) Milnor–Witt K-theory presheaf and the presheaf of stable motivic homotopy groups

KnMW(  – ) π sn,n(  – ),n ,

from the base field case to the case of any base scheme S.

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Keywords
Milnor–Witt K-theory, stable motivic homotopy groups, motivic homotopy category over a base
Mathematical Subject Classification
Primary: 14F42, 19E08, 19E20
Milestones
Received: 27 March 2020
Revised: 10 September 2021
Accepted: 3 October 2021
Published: 12 February 2022
Authors
Andrei Druzhinin
Chebyshev Laboratory
St.  Petersburg State University
St.  Petersburg
Russia
St.  Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
St.  Petersburg
Russia