The sigma orientation is an H map

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

Research output: Contribution to journalArticlepeer-review


In an earlier paper, the authors constructed a natural map, called the sigma orientation, from the Thorn spectrum MU(6) to any elliptic spectrum. MU(6) is an H 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 ring spectra.

Original languageEnglish (US)
Pages (from-to)247-334
Number of pages88
JournalAmerican Journal of Mathematics
Issue number2
StatePublished - Apr 2004

ASJC Scopus subject areas

  • General Mathematics


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