4 papers
Pathological Computations of Mackey Functor-valued Tor over Cyclic Groups
David Mehrle, J. D. Quigley, Michael Stahlhauer
We compute Mackey functor-valued Tor over certain free incomplete Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator. In contrast with th…
Koszul Resolutions over Free Incomplete Tambara Functors for Cyclic -Groups
David Mehrle, J. D. Quigley, Michael Stahlhauer
In equivariant algebra, Mackey functors replace abelian groups and incomplete Tambara functors replace commutative rings. In this context, we prove that equivariant Hochschild homo…
Global model categories and topological André-Quillen cohomology
Tobias Lenz, Michael Stahlhauer
We introduce global model categories as a general framework to capture several phenomena in global equivariant homotopy theory. We then construct genuine stabilizations of these, g…
-ring spectra and Moore spectra for -rings
Michael Stahlhauer
In this paper, we introduce the notion of -ring spectra. These are globally equivariant homotopy types with a structured multiplication, giving rise to power operations o…