Characteristics for E∞ ring spectra

Baker, A. (2018) Characteristics for E∞ ring spectra. Contemporary Mathematics, 708, pp. 1-17. (doi:10.1090/conm/708)

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Abstract

We introduce a notion of characteristic for connective p-local E∞ 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 a series of conjectures about spectra for which they may be characteristics; these appear to involve hard questions in stable homotopy theory.

Item Type:Articles
Additional Information:Proceedings of the Alpine Algebraic and Applied Topology Conference, held from August 15–21, 2016, in Saas-Almagell, Switzerland.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Baker, Dr Andrew
Authors: Baker, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Research Group:Geometry & Topology
Journal Name:Contemporary Mathematics
Publisher:American Mathematical Society
ISSN:0271-4132
ISSN (Online):1098-3627
Copyright Holders:Copyright © 2018 American Mathematical Scoeity
First Published:First published in Contemporary Mathematics 708:1-17
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher
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