$C_2$-equivariant Homology Operations: Results and Formulas

Abstract

In this note we state corrected and expanded versions of our previous results on power operations for $C_2$-equivariant Bredon homology with coefficients in the constant Mackey functor on ${\mathbb{F}}_2$. In particular, we give a version of the Adem relations. The proofs rely on certain results in equivariant higher algebra which we will supply in a longer version of this paper.

corrected and generalized results from part 1 of 1611.06958; now with Adem relations! Details to follow. Comments very welcome!

References in corpus (3)

• Parametrized higher category theory and higher algebra: A general introduction
• Parametrized higher category theory and higher algebra: Exposé IV -- Stability with respect to an orbital $\infty$-category
• Stable $\infty$-Operads and the multiplicative Yoneda lemma

Cited by in corpus (2)

• $C_2$ equivariant characteristic classes over the rational Burnside ring
• The $C_{2^n}$ Borel dual Steenrod algebra