Algebraic & Geometric Topology

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

Yifei Zhu

Full-text: Open access

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.

Article information

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

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

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513715854

Digital Object Identifier
doi:10.2140/agt.2014.14.953

Mathematical Reviews number (MathSciNet)
MR3160608

Zentralblatt MATH identifier
1310.55011

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

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

Citation

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. https://projecteuclid.org/euclid.agt/1513715854


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