The Ando-Hopkins-Rezk orientation is surjective [article]

Sanath K. Devalapurkar
2020 arXiv   pre-print
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 This proves an unpublished claim of Hopkins and Mahowald.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