Michael Stahlhauer
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View article: Pathological Computations of Mackey Functor-valued Tor over Cyclic Groups
Pathological Computations of Mackey Functor-valued Tor over Cyclic Groups Open
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 the classical situation where the resulting Tor groups vanish…
View article: Koszul Resolutions over Free Incomplete Tambara Functors for Cyclic $p$-Groups
Koszul Resolutions over Free Incomplete Tambara Functors for Cyclic $p$-Groups Open
In equivariant algebra, Mackey functors replace abelian groups and incomplete Tambara functors replace commutative rings. In this context, we prove that equivariant Hochschild homology can sometimes be computed using Mackey functor-valued …
View article: G∞–ring spectra and Moore spectra forβ–rings
G∞–ring spectra and Moore spectra forβ–rings Open
In this paper, we introduce the notion of $G_\infty$-ring spectra. These are globally equivariant homotopy types with a structured multiplication, giving rise to power operations on their equivariant homotopy and cohomology groups. We illu…
View article: Global model categories and topological André-Quillen cohomology
Global model categories and topological André-Quillen cohomology Open
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, generalizing the usual passage from unstable to stable globa…
View article: $G_\infty$-ring spectra and Moore spectra for $β$-rings
$G_\infty$-ring spectra and Moore spectra for $β$-rings Open
In this paper, we introduce the notion of $G_\infty$-ring spectra. These are globally equivariant homotopy types with a structured multiplication, giving rise to power operations on their equivariant homotopy and cohomology groups. We illu…
View article: $G_\infty$-ring spectra and Moore spectra for $\beta$-rings
$G_\infty$-ring spectra and Moore spectra for $\beta$-rings Open
In this paper, we introduce the notion of $G_\\infty$-ring spectra. These are\nglobally equivariant homotopy types with a structured multiplication, giving\nrise to power operations on their equivariant homotopy and cohomology groups.\nWe …