Resumen de Framed and MW-transfers for homotopy modules

Alexey Ananyevskly, Alexander Neshitov

• In the paper we use the theory of framed correspondences to construct MilnorâWitt transfers on homotopy modules. As a consequence we identify the zeroth stable A1 -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 A1 -derived category and the category of MilnorâWitt 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.