J. Greenlees

activity

20042026

most citedAn algebraic model for rational torus-equivariant spectra

18 citations · 106 across the 27 of their papers we have counts for

collaborators

27 papers

math.AT2026

Rational Sp(2)-equivariant cohomology theories I: dominant subgroups

John Greenlees

We give a general description of the spectral space of conjugacy classes of subgroups of Sp(2): it is a disjoint union of finitely many blocks, each dominated by a subgroup: of the…

math.AT2025

Rational G-spectra over blocks with finite Weyl groups

J. P. C. Greenlees

We show that for any clopen collection X of subgroups of G with finite Weyl groups, the category of G-spectra with geometric isotropy in X is equivalent to the category of equivari…

math.RT2023

Modules with finitely generated cohomology, and singularities of $C^{*} B G$

David J. Benson, John Greenlees

Let $G$ be a finite group and $k$ a field of characteristic $p$ . We conjecture that if $M$ is a $k G$ -module with $H^{*} (G, M)$ finitely generated as a module over $H^{*} (G, k)$ then as a…

math.AT2022

Formality of cochains on BG

David Benson, John Greenlees

Let $G$ be a compact Lie group with maximal torus $T$ . If $∣ N_{G} (T) / T ∣$ is invertible in the field $k$ then the algebra of cochains $C^{*} (B G; k)$ is formal as an $A_{\infty}$ algebra, o…

math.RT2021

The singularity and cosingularity categories of $C^{*} B G$ for groups with cyclic Sylow $p$ -subgroups

Dave Benson, John Greenlees

We construct a differential graded algebra (DGA) modelling certain $A_{\infty}$ algebras associated with a finite group $G$ with cyclic Sylow subgroups, namely $H^{*} B G$ and $H_*ΩBG^{^…

math.AT2021★ 1 cited

The local cohomology spectral sequence for topological modular forms

Robert Bruner, John Greenlees, John Rognes

We discuss proofs of local cohomology theorems for topological modular forms, based on Mahowald-Rezk duality and on Gorenstein duality, and then make the associated local cohomolog…