6 papers
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…
On higher real -theories and finite spectra
Christian Carrick, Michael A. Hill
We study higher chromatic height analogues of the connective real -theory spectrum . We show that is an fp spectrum of type in the sense of Mahowald--Rezk.…
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…
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…