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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Mathematical Subject Classification 2010

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