Characteristics for $E_\infty$ ring spectra
Algebraic Topology
2017-06-02 v5
Abstract
We introduce a notion of characteristic for connective -local ring spectra and study some basic properties. Apart from examples already pointed out by Markus Szymik, we investigate some examples built from Hopf invariant elements in the stable homotopy groups of spheres and make some conjectures about spectra for which they may be characteristics; these appear to involve hard questions in stable homotopy theory.
Cite
@article{arxiv.1405.3695,
title = {Characteristics for $E_\infty$ ring spectra},
author = {Andrew Baker},
journal= {arXiv preprint arXiv:1405.3695},
year = {2017}
}
Comments
Version 5: minor changes; final version to appear the proceedings of the Alpine Algebraic and Applied Topology Conference