Tohoku Mathematical Journal
2023
March
SECOND SERIES VOL. 75, NO. 1

Tohoku Math. J.
75 (2023), 39-56

Title TRANSFERS ON MILNOR-WITT K-THEORY

Author Niels Feld

(Received May 6, 2021, revised October 4, 2021)
Abstract. We study the existence of transfers on a generalization of Milnor K-theory called Milnor-Witt K-theory. We give a new proof of the fact that Milnor-Witt K-theory has geometric transfers. Moreover, we explain how our proof yields a simplification of Morel's conjecture about Bass-Tate-Kato transfers on contracted homotopy sheaves in the context of motivic homotopy theory.

Mathematics Subject Classification. Primary 14C17; Secondary 14C35, 11E81.
Key words and phrases. Milnor-Witt K-theory, Bass-Tate-Kato transfers, motivic homotopy theory.

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