In the paper we use the theory of framed correspondences to construct Milnor–Witt transfers on homotopy modules. As a consequence we identify the zeroth stable A 1 -homotopy sheaf of a smooth variety with the zeroth homology of the corresponding MW-motivic complex and prove that the hearts of the homotopy t-structures on the stable A 1 -derived category and the category of Milnor–Witt motives are equivalent. We also show that a homotopy invariant stable linear framed Nisnevich sheaf admits a unique structure of a presheaf with MW-transfers compatible with the framed structure.

Original languageEnglish
Article number26
Number of pages41
JournalSelecta Mathematica, New Series
Volume25
Issue number2
DOIs
StatePublished - 19 Mar 2019

    Research areas

  • Framed correspondences, Homotopy modules, Milnor–Witt correspondences

    Scopus subject areas

  • Mathematics(all)

ID: 41331122