Abstract
Previous work constructed a generalized truncated Brown-Peterson spectrum of chromatic height 2 at the prime 2 as an -ring spectrum, based on the study of elliptic curves with level-3 structure. We show that the natural map forgetting this level structure induces an -ring map from the spectrum of topological modular forms to this truncated Brown-Peterson spectrum, and that this orientation fits into a diagram of -ring spectra lifting a classical diagram of modules over the mod-2 Steenrod algebra. In an appendix, we document how to organize Morava's forms of K-theory into a sheaf of -ring spectra.
Original language | English (US) |
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Pages (from-to) | 2773-2813 |
Number of pages | 41 |
Journal | International Mathematics Research Notices |
Volume | 2014 |
Issue number | 10 |
DOIs | |
State | Published - Jan 1 2014 |
Bibliographical note
Funding Information:This work was partially supported by NSF grant 0805833 and a fellowship from the