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arXiv · 1807.02981

Motivic Tambara Functors

Tom Bachmann
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Abstract

Let k be a field and denote by SH(k) the motivic stable homotopy category. Recall its full subcategory HI_0(k) of effective homotopy modules. Write NAlg(HI_0(k)) for the category of normed motivic spectra with underlying spectrum an effective homotopy module. In this article we provide an explicit description of NAlg(HI_0(k)) as the category of sheaves with generalized transfers and \'etale norms, and explain how this is closely related to the classical notion of Tambara functors.

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Tom Bachmann. 2018-07-09. Motivic Tambara Functors. https://doi.org/10.1007/s00209-020-02581-x

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