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The power operation structure on Morava $E\!$–theory of height $2$ at the prime $3$

Yifei Zhu

Algebraic & Geometric Topology 14 (2014) 953–977
Abstract

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.

Keywords
power operations, elliptic curves, Morava $E$–theory, $K(1)$–localization
Mathematical Subject Classification 2010
Primary: 55S12
Secondary: 55N20, 55N34
References
Publication
Received: 9 November 2012
Revised: 2 September 2013
Accepted: 10 September 2013
Published: 31 January 2014
Authors
Yifei Zhu
Department of Mathematics
Northwestern University
2033 Sheridan Road
Evanston, IL 60208
USA
http://www.math.northwestern.edu/~zyf