Motivic Tambara Functors
K-Theory and Homology
2022-01-12 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1807.02981,
title = {Motivic Tambara Functors},
author = {Tom Bachmann},
journal= {arXiv preprint arXiv:1807.02981},
year = {2022}
}
Comments
v2: version accepted for publication. 20 pages; comments always welcome