Title:
The sigma orientation is an H-infinity map


Authors:
Matthew Ando
Neil P. Strickland
Michael J. Hopkins

AMS subject classification: 
55N34

arXiv number:
math.AT/0204053


Adresses:
Department of Mathematics, University of Illinois at Urbana-Champaign
mando@math.uiuc.edu


Department of Mathematics, Massachusetts Institute of Technology
mjh@math.uiuc.edu


Department of Pure Mathematics, University of Sheffield
N.P.Strickland@sheffield.ac.uk



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.