23 citations · 75 across the 21 of their papers we have counts for
23 papers
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…
Classifying rational G-spectra for profinite G
David Barnes, Danny Sugrue
For G an arbitrary profinite group, we construct an algebraic model for rational G-spectra in terms of G-equivariant sheaves over the space of subgroups of G. This generalises the…
Equivariant sheaves for profinite groups
David Barnes, Danny Sugrue
We study equivariant sheaves over profinite spaces, where the group is also taken to be profinite. We resolve a serious deficit in the existing theory by constructing a good notion…
The equivalence between rational G-sheaves and rational G-Mackey functors for profinite G
David Barnes, Danny Sugrue
For G a profinite group, we construct an equivalence between rational G-Mackey functors and a certain full subcategory of G-sheaves over the space of closed subgroups of G called W…
-operads and associahedra
Scott Balchin, David Barnes, Constanze Roitzheim
We provide a new combinatorial approach to studying the collection of N-infinity-operads in G-equivariant homotopy theory for G a finite cyclic group. In particular, we show that f…
An algebraic model for rational naive-commutative ring SO(2)-spectra and equivariant elliptic cohomology
David Barnes, J. P. C. Greenlees, Magdalena Kedziorek
Equipping a non-equivariant topological -operad with the trivial -action gives an operad in -spaces. For a -spectrum, being an algebra over this operad does not…