Algebraic & Geometric Topology

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

Yifei Zhu

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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.

Article information

Algebr. Geom. Topol., Volume 14, Number 2 (2014), 953-977.

Received: 9 November 2012
Revised: 2 September 2013
Accepted: 10 September 2013
First available in Project Euclid: 19 December 2017

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Zentralblatt MATH identifier

Primary: 55S12: Dyer-Lashof operations
Secondary: 55N20: Generalized (extraordinary) homology and cohomology theories 55N34: Elliptic cohomology

power operations elliptic curves Morava $E$–theory $K(1)$–localization


Zhu, Yifei. The power operation structure on Morava $E$–theory of height $2$ at the prime $3$. Algebr. Geom. Topol. 14 (2014), no. 2, 953--977. doi:10.2140/agt.2014.14.953.

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