Z/2-equivariant and R-motivic stable stems

Abstract

We establish an isomorphism between the stable homotopy groups of the 2-completed motivic sphere spectrum over the real numbers and the corresponding stable homotopy groups of the 2-completed Z/2-equivariant sphere spectrum, in a certain range of dimensions.

Cited by in corpus (9)

• Equivariant Cohomotopy implies orientifold tadpole cancellation
• C_2-equivariant stable homotopy from real motivic stable homotopy
• A structure theorem for $RO(C_2)$-graded Bredon cohomology
• Localizations and completions in motivic homotopy theory
• Strong convergence in the motivic Adams spectral sequence
• R-motivic stable stems
• The $C_2$-equivariant cohomology of complex projective spaces
• Realizing doubles: a conjugation zoo
• The stable Galois correspondence for real closed fields