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arXiv · 1908.08378

C_2-equivariant stable homotopy from real motivic stable homotopy

Mark Behrens·Jay Shah
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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.

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Mark Behrens, Jay Shah. 2019-08-22. C_2-equivariant stable homotopy from real motivic stable homotopy. https://doi.org/10.2140/akt.2020.5.411

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