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

Posted on:2014-02-13Degree:Ph.DType:Dissertation
University:University of MinnesotaCandidate:Zhu, YifeiFull Text:PDF
GTID:1452390008456759Subject:Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Power, Structure, E-theory
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