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The sigma orientation is an H-infinity map

Matthew Ando·Michael J. Hopkins·Neil P. Strickland
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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.

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Matthew Ando, Michael J. Hopkins, Neil P. Strickland. 2004-01-30. The sigma orientation is an H-infinity map. https://arxiv.org/abs/math/0204053

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