9 citations · 10 across the 5 of their papers we have counts for
6 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…
A Dwyer-Rezk classification for polynomial functors in Weiss calculus
David Barnes, Magdalena Kędziorek, Niall Taggart
In Goodwillie calculus, unpublished work of Dwyer and Rezk provides a classification of reduced filtered colimit preserving -excisive functors from pointed spaces to spectra as…
An algebraic model for rational excisive functors
David Barnes, Magdalena Kędziorek, Niall Taggart
We provide a new proof of the rational splitting of excisive endofunctors of spectra as a product of their homogeneous layers independent of rational Tate vanishing. We utilise the…
Profinite equivariant spectra and their tensor-triangular geometry
Scott Balchin, David Barnes, Tobias Barthel
We study the tensor-triangular geometry of the category of equivariant -spectra for a profinite group, . Our starting point is the construction of a ``continu…
Rational SO(2)-Equivariant Spectra
D. Barnes, J. P. C. Greenlees, M. Kedziorek +1
We prove that the category of rational SO(2)-equivariant spectra has a simple algebraic model. Furthermore, all of our model categories and Quillen equivalences are monoidal, so we…
Rational O(2)-Equivariant Spectra
David Barnes
The category of rational O(2)-equivariant cohomology theories has an algebraic model A(O(2)), as established by work of Greenlees. That is, there is an equivalence of categories be…