The sigma orientation is an H-infinity map
Algebraic Topology
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0204053,
title = {The sigma orientation is an H-infinity map},
author = {Matthew Ando and Michael J. Hopkins and Neil P. Strickland},
journal= {arXiv preprint arXiv:math/0204053},
year = {2007}
}