We give explicit calculations of the algebraic theory of power operations for
a specific Morava E-theory spectrum and its K(1)-localization. These power
operations arise from the universal degree-3 isogeny of elliptic curves
associated to the E-theory

Zhu, Yifei

English

arXiv

University of Minnesota Ph.D. dissertation. June 2013. Major: Mathematics. Advisor: Tyler Lawson. 1 computer file (PDF); ii, 102 pages, appendices A.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.Zhu, Yifei. (2013). The power operation structure on Morava E-theory of height 2 at the prime 3. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/156552

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

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