C₂-equivariant Homology Operations: Results and Formulas

2019/04/30 by Dylan Wilson, Wilson, Dylan
Mathematics · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1905.00058

openalex publication_date 2019/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we state corrected and expanded versions of our previous results on power operations for C₂-equivariant Bredon homology with coefficients in the constant Mackey functor on \mathbbF₂. 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.

Citations

• On the nonexistence of elements of Kervaire invariant one
• Stable ∞-Operads and the multiplicative Yoneda lemma
• Parametrized higher category theory and higher algebra: Expos 'e IV --\n Stability with respect to an orbital \∞-category
• Parametrized higher category theory and higher algebra: A general introduction
• Power operations for H\underline\mathbbF₂ and a cellular construction of BPR
• On topological cyclic homology

Related

• Power operations for H\underline\mathbbF₂ and a cellular construction of BPR
• Characterizing maximal varieties via Bredon cohomology
• Equivariant homology of stacks
• Some remarks on Mackey functors
• Generalized equivariant homology on simplicial complexes