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arXiv · 1405.3695

Characteristics for $E_\infty$ ring spectra

Andrew Baker
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Abstract

We introduce a notion of characteristic for connective $p$-local $E_\infty$ ring spectra and study some basic properties. Apart from examples already pointed out by Markus Szymik, we investigate some examples built from Hopf invariant $1$ 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.

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Andrew Baker. 2014-05-14. Characteristics for $E_\infty$ ring spectra. https://arxiv.org/abs/1405.3695

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