Simultaneous Kummer congruences and ${\mathbb{E}}_{\infty }$-orientations of KO and tmf

J. Sprang, N. Naumann

Building on results of M. Ando, M.J. Hopkins and C. Rezk, we show the existence of uncountably many ${\mathbb{E}}_{\infty }$-String orientations of real K-theory KO and of topological m…