5 papers
Type 2 complexes constructed from Brown-Gitler spectra
William Balderrama, Justin Barhite, Nicholas J. Kuhn +1
In a previous paper, one of us interpreted mod 2 Dyer-Lashof operations as explicit A-module extensions between Brown-Gitler modules, and showed these A-modules can be topologicall…
Enumerating partitions arising in homotopy theory
Scott M. Bailey, Donald M. Larson
We present an infinite family of recursive formulas that count binary integer partitions satisfying natural divisibility conditions and show that these counts are interrelated via…
Connectedness of graphs arising from the dual Steenrod algebra
Donald M. Larson
We establish connectedness criteria for graphs associated to monomials in certain quotients of the mod 2 dual Steenrod algebra. We also investigate questions about trees and Hamilt…
Explicit modular forms from the divided beta family
Donald M. Larson
We compute modular forms known to arise from the order 5 generators of the 5-local Adams-Novikov spectral sequence 2-line, generalizing and contextualizing previous computations of…
On the Bousfield-Kan spectral sequence for
Donald M. Larson
We compute the -term of the Bousfield-Kan spectral sequence converging to the homotopy groups of the semi-cosimplicial ring spectrum . This 3-local sp…