The Sigma Orientation Is an$H_\infty $Map

In an earlier paper, the authors constructed a natural map, called the sigma orientation, from the Thorn spectrum MU$\left\langle 6 \right\rangle$to any elliptic spectrum. MU$\left\langle 6 \right\rangle$is an$H_\infty $ring spectrum, and in this paper we show that if (E, C, t) is the elliptic spect...

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Bibliographic Details
Published in:American journal of mathematics 2004-04, Vol.126 (2), p.247-334
Main Authors: Ando, Matthew, Hopkins, Michael J., Strickland, Neil P.
Format: Article
Language:English
Subjects:
Algebra
Coordinate systems
Cubes
Functors
Homomorphisms
Mathematical rings
Mathematical vectors
Plant spines
Topological spaces
Online Access:Get full text
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Summary:In an earlier paper, the authors constructed a natural map, called the sigma orientation, from the Thorn spectrum MU$\left\langle 6 \right\rangle$to any elliptic spectrum. MU$\left\langle 6 \right\rangle$is an$H_\infty $ring spectrum, and in this paper we show that if (E, C, t) is the elliptic spectrum associated to the universal deformation of a supersingular elliptic curve over a perfect field of characteristic p > 0, then the sigma orientation is a map of$H_\infty $ring spectra.
ISSN:0002-9327
1080-6377