The sigma orientation is an H-infinity map

Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P.

The sigma orientation is an H-infinity map

Authors

Ando, Matthew

Hopkins, Michael J.

Strickland, Neil P.

Description

In "Elliptic spectra, the Witten genus, and the Theorem of the cube" (Invent. Math. 146 (2001)), the authors constructed a natural map from the Thom spectrum MU<6> to any elliptic spectrum, called the "sigma orientation". 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.