Hopf invariant one elements and E-infinity ring spectra

Andrew Baker (University of Glasgow)

Frank Adams 2,

Certain iterated mapping cones built using homotopy elements of Hopf invariant 1 turn up in nature as low skeleta of classifying spaces and Thom spectra. I will show how these can be used to build E-infinity Thom spectra over infinite loop spaces which are closely related to some important E-infinity ring spectra such as kO and tmf.



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