41 citations · 101 across the 23 of their papers we have counts for
5 papers · 1 filter
On the classification of oriented 3-plane bundles over a 6-complex
Benjamin Antieau, Ben Williams
In this short note, we complete the description of low-degree characteristic classes of oriented 3-plane bundles over a 6-complex. Our goal is to point out and correct an error in…
Unramified division algebras do not always contain Azumaya maximal orders
Benjamin Antieau, Ben Williams
We show that, in general, over a regular integral noetherian affine scheme X of dimension at least 6, there exist Brauer classes on X for which the associated division algebras ove…
The topological period-index problem over 6-complexes
Benjamin Antieau, Ben Williams
By comparing the Postnikov towers of the classifying spaces of projective unitary groups and the differentials in a twisted Atiyah-Hirzebruch spectral sequence, we deduce a lower b…
Serre-Godeaux varieties and the etale index
Benjamin Antieau, Ben Williams
We use the Serre-Godeaux varieties of finite groups, projective representation theory, the twisted Atiyah-Segal completion theorem, and our previous work on the topological period-…
The Gm-equivariant Motivic Cohomology of Stiefel Varieties
Ben Williams
We derive a version of the Rothenberg-Steenrod, fiber-to-base, spectral sequence for cohomology theories represented in model categories of simplicial presheaves. We then apply thi…