Steenrod operations and A-module extensions
Algebraic Topology
2020-08-03 v3
Abstract
Explicit extensions representing cocycles are useful in calculating Steenrod operations by a method devised by the second author. This can be used to identify explicit cocycles in the minimal resolutions produced by the first author's computer programs, and this information is useful in determining differentials in the Adams spectral sequence.
Cite
@article{arxiv.1909.03117,
title = {Steenrod operations and A-module extensions},
author = {Robert Bruner and Christian Nassau and Sean Tilson},
journal= {arXiv preprint arXiv:1909.03117},
year = {2020}
}
Comments
Added higher diagonals for f_0, establishing our claims about Steenrod operations on this element. Corrected minor typos. Improved exposition in a few places