Mod 2 power operations revisited
Algebraic Topology
2023-10-04 v1
Abstract
In this mostly expository note we take advantage of homotopical and algebraic advances to give a modern account of power operations on the mod 2 homology of -ring spectra. The main advance is a quick proof of the Adem relations utilizing the Tate-valued Frobenius as a homotopical incarnation of the total power operation. We also give a streamlined derivation of the action of power operations on the dual Steenrod algebra.
Cite
@article{arxiv.1905.00054,
title = {Mod 2 power operations revisited},
author = {Dylan Wilson},
journal= {arXiv preprint arXiv:1905.00054},
year = {2023}
}
Comments
20 pages, comments very welcome!