Christy Hazel

activity

20192026

most citedEquivariant fundamental classes in

R O (C_{2})

-graded cohomology in

Z /2

-coefficients

3 citations · 6 across the 9 of their papers we have counts for

collaborators

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10 papers · 1 filter

math.AT2026

Transfer systems on trees and opposite posets

Andrew Fargo, Christy Hazel, Deven Platt

We study transfer systems on partially ordered sets whose Hasse diagrams are rooted trees. We prove there is a bijection between transfer systems on a tree and order-preserving fun…

math.AT2026

The Bredon equivariant cohomology of a point for cyclic groups

Daniel Dugger, Christy Hazel

We study the $R O (G)$ -graded Bredon cohomology of a point in the case where $G$ is a cyclic group of odd order, expanding on the information provided by previous studies. Our method…

math.AT2026

Mackey homological algebra over cyclic groups

Daniel Dugger, Christy Hazel

Let $C_{n}$ denote a cyclic group of order $n$ . In this paper we investigate modules and chain complexes over the constant integral Mackey functor $Z$ and perfor…

math.AT2024

$R O (G)$ -graded Bredon cohomology of Euclidean configuration spaces

Daniel Dugger, Christy Hazel

Let $G$ be a finite group and $V$ be a $G$ -representation. We investigate the $R O (G)$ -graded Bredon cohomology with constant integral coefficients of the space of ordered configura…

math.AT2023

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games

Linus Bao, Christy Hazel, Tia Karkos +6

We prove that Hill's characteristic function $χ$ for transfer systems on a lattice $P$ surjects onto interior operators for $P$ . Moreover, the fibers of $χ$ have unique maxima whic…

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★ 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.AT2019★ 2 cited

The $R O (C_{2})$ -graded cohomology of $C_{2}$ -surfaces in $Z /2$ -coefficients

Christy Hazel

A surface with an involution can be viewed as a $C_{2}$ -space where $C_{2}$ is the cyclic group of order two. Using the classification of $C_{2}$ -surfaces given by Dugger, we compute the…

math.AT2019★ 3 cited

Equivariant fundamental classes in $R O (C_{2})$ -graded cohomology in $Z /2$ -coefficients

Christy Hazel

Let $C_{2}$ denote the cyclic group of order two. Given a manifold with a $C_{2}$ -action, we can consider its equivariant Bredon $R O (C_{2})$ -graded cohomology. In this paper, we develop…

Transfer systems on trees and opposite posets

The Bredon equivariant cohomology of a point for cyclic groups

Mackey homological algebra over cyclic groups

RO(G)-graded Bredon cohomology of Euclidean configuration spaces

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games

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

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

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

The RO(C2​)-graded cohomology of C2​-surfaces in Z/2​-coefficients

Equivariant fundamental classes in RO(C2​)-graded cohomology in Z/2​-coefficients

$R O (G)$ -graded Bredon cohomology of Euclidean configuration spaces

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

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

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

The $R O (C_{2})$ -graded cohomology of $C_{2}$ -surfaces in $Z /2$ -coefficients

Equivariant fundamental classes in $R O (C_{2})$ -graded cohomology in $Z /2$ -coefficients