Betti realization identifies the p-complete C2-equivariant stable homotopy category as a localization of the p-complete cellular real motivic stable homotopy category, yielding computable RO(C2)-graded homotopy groups from motivic homotopy groups.
C_2-equivariant and R-motivic stable stems, II
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abstract
We show that the $C_2$-equivariant and $\mathbb{R}$-motivic stable homotopy groups are isomorphic in a range. This result supersedes previous work of Dugger and the third author.
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2019 1verdicts
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C_2-equivariant stable homotopy from real motivic stable homotopy
Betti realization identifies the p-complete C2-equivariant stable homotopy category as a localization of the p-complete cellular real motivic stable homotopy category, yielding computable RO(C2)-graded homotopy groups from motivic homotopy groups.