A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is
We show that the map π_∗MString→π_∗tmf induced by the Ando-Hopkins-Rezk orientation is surjective. This proves an unpublished claim of Hopkins and Mahowald. We do so by constructing an E_1-ring B and a map B →MString such that the composite B →MString→tmf is surjective on homotopy. Applications to differential topology, and in particular to Hirzebruch's prize question, are discussed.arXiv:1911.10534v3 fatcat:dhablqdo3bghtkrjv6a5wfojom