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Johns Hopkins University Press, American Journal of Mathematics, 2(126), p. 247-334

DOI: 10.1353/ajm.2004.0008

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The sigma orientation is an H-infinity map

Journal article published in 2002 by Matthew Ando, Michael J. Hopkins, Neil P. Strickland
This paper is available in a repository.
This paper is available in a repository.

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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.