# The spectra ko and ku are not Thom spectra: an approach using THH

@article{Angeltveit2008TheSK,
title={The spectra ko and ku are not Thom spectra: an approach using THH},
author={Vigleik Angeltveit and Michael Hill and Tyler Lawson},
journal={Geometry and Topology Monographs},
year={2008}
}
• Published 15 October 2008
• Mathematics, Physics
• Geometry and Topology Monographs
The construction of various bordism theories as Thom spectra served as a motivating example for the development of highly structured ring spectra. Various other examples of Thom spectra followed; for instance, various Eilenberg–MacLane spectra are known to be constructed in this way (see Mahowald [5]). However, Mahowald [6] proved that the connective K–theory spectra ko and ku are not the 2–local Thom spectra of any vector bundles, and that the spectrum ko is not the Thom spectrum of a…
3 Citations

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<abstract abstract-type="TeX"><p>We calculate the integral homotopy groups of THH $(\ell)$ at any prime and of THH $(ko)$ at $p=2$, where $\ell$ is the Adams summand of the connective complex

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