C_2-equivariant stable homotopy from real motivic stable homotopy
Algebraic Topology
2020-07-29 v3 K-Theory and Homology
Abstract
We give a method for computing the C_2-equivariant homotopy groups of the Betti realization of a p-complete cellular motivic spectrum over R in terms of its motivic homotopy groups. More generally, we show that Betti realization presents the C_2-equivariant p-complete stable homotopy category as a localization of the p-complete cellular real motivic stable homotopy category.
Cite
@article{arxiv.1908.08378,
title = {C_2-equivariant stable homotopy from real motivic stable homotopy},
author = {Mark Behrens and Jay Shah},
journal= {arXiv preprint arXiv:1908.08378},
year = {2020}
}
Comments
49 pages, 4 figures. v3: revisions based on comments from referee