The sigma orientation is an H-infinity map

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 to any elliptic spectrum, called the "sigma orientation". MU is an H-infinity ring spectrum, and in this paper we show...

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Bibliographic Details
Published in:arXiv.org 2004-01
Main Authors: Ando, Matthew, Hopkins, Michael J, Strickland, Neil P
Format: Article
Language:English
Subjects:
H infinity
Orientation
Online Access:Get full text
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Summary: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 to any elliptic spectrum, called the "sigma orientation". MU 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.
ISSN:2331-8422