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arXiv · 1710.07412

Framed and MW-transfers for homotopy modules

Alexey Ananyevskiy·Alexander Neshitov
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Abstract

In the paper we use the theory of framed correpondences to construct Milnor-Witt transfers on homotopy modules. As a consequence we identify the zeroth stable $\mathbb{A}^1$-homotopy sheaves of smooth varieties with the zeroth homology of corresponding MW-motivic complexes and prove that the hearts of homotopy $t$-structures on the stable $\mathbb{A}^1$-derived category and the category of Milnor-Witt motives are equivalent.

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Alexey Ananyevskiy, Alexander Neshitov. 2017-10-20. Framed and MW-transfers for homotopy modules. https://arxiv.org/abs/1710.07412

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