The power operation structure on Morava

Zhu, Yifei

doi:10.2140/agt.2014.14.953

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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

DOI: 10.2140/agt.2014.14.953

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

Volume 14, issue 2 (2014)