Framed and MW-transfers for homotopy modules

• Alexey Ananyevskly ^[1] ; Alexander Neshitov ^[2]
  1. [1] Steklov Mathematical Institute

     Steklov Mathematical Institute

     Rusia

     
  2. [2] University of Southern California

     University of Southern California

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 2, 2019
• Idioma: inglés
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• Resumen

  • 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.