Thom Complexes and the Spectrum tmf

Abstract

Many interesting spectra can be constructed as Thom spectra of easily constructed bundles. Mahowald showed that $bu$ and $bo$ cannot be realized as $E_1$ Thom spectra. We use related techniques to show that ${tmf}_{(2)}$ also cannot be realized as an $E_1$ Thom spectrum.

Cited by in corpus (1)

• Higher chromatic Thom spectra via unstable homotopy theory