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$C_2$-equivariant Homology Operations: Results and Formulas

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arxiv 1905.00058 v1 pith:HP2EAXTR submitted 2019-04-30 math.AT

Dylan Wilson This is my paper · ORCID
classification math.AT
keywords equivariantresultshomologyoperationsversionademalgebrabredon
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 6 citations worldwide. Full citation record

  1. Parametrized $\underline{\mathbb{F}}_2$-Cohomology of $B_{C_2}O(1)$

    math.AT 2026-07 conditional novelty 7.0 of 10

    The RO(ΠP)-graded F2-cohomology of P=B_{C2}O(1) is the explicit ring M2[u10,u11,a10,a11,e,ν] with u10u11=ue, a10u11+a11u10=ae, e2=ν2=1.

  2. Conjugation Spaces are Cohomologically Pure

    math.AT 2019-08 accept novelty 7.0 of 10

    For finite-type spaces with a C2-action, having a conjugation frame is equivalent to being homologically pure, meaning X ∧ HF splits as a wedge of sign-representation suspensions of HF.

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