5 papers · 1 filter
Global dimension of the category of rational incomplete Mackey functors for a finite abelian group G
David Barnes, Anna Marie Bohmann, Michael A. Hill +1
In this paper, we analyse the global dimension of the category of rational incomplete Mackey functors over a finite abelian group. Incomplete Mackey functors have recently risen to…
Maximal compatibility of disklike -transfer systems
David DeMark, Michael A. Hill, Yigal Kamel +4
Transfer systems are a combinatorial model for -operads, which encode commutative structures in equivariant homotopy theory. Blumberg--Hill and Chan gave criteria for w…
Periodicity and finite complexity in higher real -theories
Zhipeng Duan, Michael A. Hill, Guchuan Li +4
In this paper, we establish periodicity results for higher real -theories at all heights and for all finite subgroups of the Morava stabilizer group at the prime 2. We further a…
Splitting rational incomplete Mackey functors
David Barnes, Michael A. Hill, Magdalena Kedziorek
Inspired by equivariant homotopy theory, equivariant algebra studies generalisations of G-Mackey functors that do not have all transfer maps (also known as induction maps), for G a…
On MU-homology of connective models of higher Real K-theories
Christian Carrick, Michael A. Hill
We use the slice filtration to study the -homology of the fixed points of connective models of Lubin--Tate theory studied by Hill--Hopkins--Ravenel and Beaudry--Hill--Shi--Zeng…