activity
20002026
most citedMotivic cell structures

99 citations · 383 across the 40 of their papers we have counts for

collaborators

41 papers

math.AT2026

The Bredon equivariant cohomology of a point for cyclic groups

Daniel Dugger, Christy Hazel

We study the -graded Bredon cohomology of a point in the case where 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 denote a cyclic group of order . In this paper we investigate modules and chain complexes over the constant integral Mackey functor and perfor…

math.CO2025

Salvetti complexes for conditional oriented matroids

Galen Dorpalen-Barry, Dan Dugger, Nicholas Proudfoot

We give a new proof of the fact that the complement of the complexification of a real hyperplane arrangement is homotopy equivalent to the Salvetti complex of the associated orient…

math.AT2024

-graded Bredon cohomology of Euclidean configuration spaces

Daniel Dugger, Christy Hazel

Let be a finite group and be a -representation. We investigate the -graded Bredon cohomology with constant integral coefficients of the space of ordered configura…

math.AG2022★ 1 cited

The Multiplicative Structures on Motivic Homotopy Groups

Daniel Dugger, Bjørn Ian Dundas, Daniel C. Isaksen +1

We reconcile the multiplications on the homotopy rings of motivic ring spectra used by Voevodsky and Dugger. While the connection is elementary and similar phenomena have been obse…

math.AT2022

Equivariant -modules for the cyclic group

Daniel Dugger, Christy Hazel, Clover May

For the cyclic group we give a complete description of the derived category of perfect complexes of modules over the constant Mackey ring , for $…