The power operation structure on Morava E-theory of height 2 at the prime 3.

摘要

Dyer-Lashof theories organize power operations in cohomology. We give an overview of the structure of the Dyer-Lashof theories associated to Morava E-theories. When the E-theory is an elliptic cohomology theory, this structure enables us to compute power operations by doing calculations with elliptic curves. We give explicit computations of the Dyer-Lashof theory for a specific E-theory spectrum and its K(1)-localization.