Strictly commutative realizations of diagrams over the Steenrod algebra and topological modular forms at the prime 2

@article{Lawson2012StrictlyCR,
  title={Strictly commutative realizations of diagrams over the Steenrod algebra and topological modular forms at the prime 2},
  author={T. Lawson and N. Naumann},
  journal={International Mathematics Research Notices},
  year={2012},
  volume={2014},
  pages={2773-2813}
}
  • T. Lawson, N. Naumann
  • Published 2012
  • Mathematics
  • International Mathematics Research Notices
  • Previous work constructed a generalized truncated Brown-Peterson spectrum of chromatic height 2 at the prime 2 as an E∞-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 E∞-ring map from the spectrum of topological modular forms to this truncated Brown-Peterson spectrum, and that this orientation fits into a diagram of E∞-ring spectra lifting a classical diagram of modules over the mod-2 Steenrod… CONTINUE READING
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