The sigma orientation is an H-infinity map

Abstract

In &#34;Elliptic spectra, the Witten genus, and the Theorem of the cube&#34; (Invent. Math. 146 (2001)), the authors constructed a natural map from the Thom spectrum MU<6> to any elliptic spectrum, called the &#34;sigma orientation&#34;. MU<6> is an H-infinity ring spectrum, and in this paper we show that if E is a K(2)-local H-infinity elliptic spectrum, then the sigma orientation is a map of H-infinity spectra.