Clover May

activity

20132026

R O (C_{2})

-graded Bredon cohomology

18 citations · 26 across the 9 of their papers we have counts for

collaborators

9 papers

math.AT2026

Parametrized $F_{2}$ -Cohomology of $B_{C_{2}} O (1)$

Agnès Beaudry, Chloe Lewis, Clover May +2

We compute the parametrized (or twisted) ordinary cohomology of the classifying space for real $C_{2}$ -line bundles, $B_{C_{2}} O (1)$ with coefficients in the constant Mackey functor $\…

math.RT2025

Equivariant $H F_{p}$ -modules are wild

Jacob Fjeld Grevstad, Clover May

Let $k$ be an arbitrary field of characteristic $p$ and let $G$ be a finite group. We investigate the representation type, derived representation type, and singularity category of…

math.AT2024

A Guide to Equivariant Parametrized Cohomology

Agnès Beaudry, Chloe Lewis, Clover May +2

This article investigates equivariant parametrized cellular cohomology, a cohomology theory introduced by Costenoble-Waner for spaces with an action by a compact Lie group $G$ . The…

math.AT2022

Equivariant $Z / ℓ$ -modules for the cyclic group $C_{2}$

Daniel Dugger, Christy Hazel, Clover May

For the cyclic group $C_{2}$ we give a complete description of the derived category of perfect complexes of modules over the constant Mackey ring $Z / ℓ$ , for $…

math.AT2021

Genuine-commutative ring structure on rational equivariant $K$ -theory for finite abelian groups

Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak +2

In this paper, we build on the work from our previous paper (arXiv:2002.01556) to show that periodic rational $G$ -equivariant topological $K$ -theory has a unique genuine-commutativ…

math.AT2020★ 5 cited

The freeness theorem for equivariant cohomology of Rep( $C_{2}$ )-complexes

Eric Hogle, Clover May

Let $C_{2}$ be the cyclic group of order two. We show that the $R O (C_{2})$ -graded Bredon cohomology of a finite Rep( $C_{2}$ )-complex is free as a module over the cohomology of a point wh…

math.AT2020★ 1 cited

Naive-commutative structure on rational equivariant $K$ -theory for abelian groups

Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak +2

In this paper, we calculate the image of the connective and periodic rational equivariant complex $K$ -theory spectrum in the algebraic model for naive-commutative ring $G$ -spectra…

math.AT2018★ 18 cited

A structure theorem for $R O (C_{2})$ -graded Bredon cohomology

Clover May

Let $C_{2}$ be the cyclic group of order two. We present a structure theorem for the $R O (C_{2})$ -graded Bredon cohomology of $C_{2}$ -spaces using coefficients in the constant Mackey func…

math.GR2013★ 2 cited

On involutions and generalized symmetric spaces of dicyclic groups

Abigail Bishop, Christopher Cyr, John Hutchens +3

Let $G=\Dc_{n}$ be the dicyclic group of order $4 n$ . Let $φ$ be an automorphism of $G$ of order $k$ . We describe $φ$ and the generalized symmetric space $Q$ of $G$ associated with…

Parametrized F​2​-Cohomology of BC2​​O(1)

Equivariant HF​p​-modules are wild

A Guide to Equivariant Parametrized Cohomology

Equivariant Z/ℓ​-modules for the cyclic group C2​

Genuine-commutative ring structure on rational equivariant K-theory for finite abelian groups

The freeness theorem for equivariant cohomology of Rep(C2​)-complexes

Naive-commutative structure on rational equivariant K-theory for abelian groups

A structure theorem for RO(C2​)-graded Bredon cohomology