Homology, Homotopy and Applications

The congruence criterion for power operations in Morava E-theory

Charles Rezk

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Abstract

We prove a congruence criterion for the algebraic theory of power operations in Morava E-theory, analogous to Wilkerson's congruence criterion for torsion free λ-rings. In addition, we provide a geometric description of this congruence criterion, in terms of sheaves on the moduli problem of deformations of formal groups and Frobenius isogenies.

Article information

Source
Homology Homotopy Appl., Volume 11, Number 2 (2009), 327-379.

Dates
First available in Project Euclid: 27 January 2011

Permanent link to this document
https://projecteuclid.org/euclid.hha/1296138524

Mathematical Reviews number (MathSciNet)
MR2591924

Zentralblatt MATH identifier
1193.55010

Subjects
Primary: 55S25: $K$-theory operations and generalized cohomology operations [See also 19D55, 19Lxx] 55S12: Dyer-Lashof operations 14L05: Formal groups, $p$-divisible groups [See also 55N22]

Keywords
Power operation Morava E-theory

Citation

Rezk, Charles. The congruence criterion for power operations in Morava E-theory. Homology Homotopy Appl. 11 (2009), no. 2, 327--379. https://projecteuclid.org/euclid.hha/1296138524


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