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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 -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…