The congruence criterion for power operations in Morava E-theory

Details The congruence criterion for power operations in Morava E-theory The congruence criterion for power operations in Morava E-theory

2009-02-14

arxiv.org/abs/0902.2499v2

Homology, Homotopy and Applications, Vol. 11 (2009), No. 2, pp.327-379

Mathematics

Algebraic Topology

Revised version for publication

Scientific paper

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 lambda-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.

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