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Motivic Tambara Functors
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<span title="2018-07-09">2018</span>
<i >
arXiv
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<span class="release-stage" >pre-print</span>
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<span title="2022-01-11">2022</span>
<span class="release-stage">accepted</span>
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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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