English

Thom Complexes and the Spectrum tmf

Algebraic Topology 2019-03-19 v1

Abstract

Many interesting spectra can be constructed as Thom spectra of easily constructed bundles. Mahowald showed that bu\mathit{bu} and bo\mathit{bo} cannot be realized as E1E_1 Thom spectra. We use related techniques to show that tmf(2)\mathit{tmf}_{(2)} also cannot be realized as an E1E_1 Thom spectrum.

Cite

@article{arxiv.1903.07116,
  title  = {Thom Complexes and the Spectrum tmf},
  author = {Hood Chatham},
  journal= {arXiv preprint arXiv:1903.07116},
  year   = {2019}
}
R2 v1 2026-06-23T08:10:38.650Z