The sigma orientation is an H∞ map

In an earlier paper, the authors constructed a natural map, called the sigma orientation, from the Thom spectrum MU <6> to any elliptic spectrum. MU <6> is an H_∞ ring spectrum, and in this paper we show that if (E, C, t) is the elliptic spectrum associated to the universal deformation of a supersingular elliptic curve over a perfect field of characteristic p > 0, then the sigma orientation is a map of H_∞ ring spectra.