activity
20092022
most citedThe ER(n)-cohomology of BO(q), and real Johnson-Wilson orientations for vector bundles

18 citations · 41 across the 10 of their papers we have counts for

collaborators

13 papers

math.AT2022

The connective K-theory of the Eilenberg-MacLane space K(Z/p,2)

Donald M. Davis, W. Stephen Wilson

We compute ku^*(K(Z/p,2)) and ku_*(K(Z/p,2)), the connective KU-cohomology and connective KU-homology groups of the mod-p Eilenberg-MacLane space K(Z/p,2), using the Adams spectral…

math.AT2022

The connective Morava K-theory of the second mod p Eilenberg-MacLane space

Donald M. Davis, Douglas C. Ravenel, W. Stephen Wilson

We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Universal Coefficient Theorem that computes the cohomology version from the homology v…

math.AT2021

The mod-2 connected KU-homology of the Eilenberg-MacLane space K(Z/2,2)

Donald M. Davis, W. Stephen Wilson

We compute the mod-2 connected KU-homology of the Eilenberg-MacLane space K(Z/2,2), using a novel Adams spectral sequence analysis.

math.AT2019

The Omega spectrum for mod 2 KO-theory

W Stephen Wilson

The 8-periodic theory that comes from the KO-theory of the mod 2 Moore space is the same as the real first Morava K-theory obtained from the homotopy fixed points of the Z/(2) acti…

math.AT2018

The ER(2)-cohomology of X^nCP^\infty and BU(n)

Nitu Kitchloo, Vitaly Lorman, W. Stephen Wilson

We continue the development of the computability of the second real Johnson-Wilson theory. As ER(2) is not complex orientable, this gives some difficulty even with basic spaces. In…

math.AT2018

The Omega spectrum for Pengelley's BoP

W. Stephen Wilson

We compute the homology of the spaces in the Omega spectrum for . There is no torsion in for , and things are only slightly more complic…