Lawson, Tyler and Naumann, Niko (2014) Strictly Commutative Realizations of Diagrams Over the Steenrod Algebra and Topological Modular Forms at the Prime 2. INTERNATIONAL MATHEMATICS RESEARCH NOTICES (10). pp. 2773-2813. ISSN 1073-7928, 1687-0247
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Previous work constructed a generalized truncated Brown-Peterson spectrum of chromatic height 2 at the prime 2 as an epsilon(infinity)-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 epsilon(infinity)-ring map from the spectrum of topological modular forms to this truncated Brown-Peterson spectrum, and that this orientation fits into a diagram of epsilon(infinity)-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 epsilon(infinity)-ring spectra.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Nov 2019 09:06 |
| Last Modified: | 29 Nov 2019 09:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/10999 |
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