Homology, Homotopy and Applications
Volume 11 (2009)
The congruence criterion for power operations in Morava $E$-theory
Pages: 327 – 379
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.
power operation; Morava E-theory
2010 Mathematics Subject Classification
14L05, 55S12, 55S25