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  • Appendix A - Power Operations

  • Eric Peterson, Harvard University, Massachusetts
  • Book:
    Formal Geometry and Bordism Operations
    Published online:
    23 November 2018
    Print publication:
    06 December 2018, pp 283-348

  • Summary

    This appendix is dedicated to the body of results about structured ring spectra which are relevant to the String–orientation of elliptic spectra. We include four main topics: a discussion of the stable homotopy theoretic analog of character theory; the compatibility of the results of the preceding chapter on orientations in the homotopy category with power operations for Lubin–Tate spectra; the sheaf of ring spectra enriching the moduli stack of elliptic curves and the spectrum of topological modular forms; and orientations of the spectrum of topological modular forms by maps of structured rings.