English

The congruence criterion for power operations in Morava E-theory

Algebraic Topology 2009-12-07 v2

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 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.

Cite

@article{arxiv.0902.2499,
  title  = {The congruence criterion for power operations in Morava E-theory},
  author = {Charles Rezk},
  journal= {arXiv preprint arXiv:0902.2499},
  year   = {2009}
}

Comments

Revised version for publication

R2 v1 2026-06-21T12:11:39.394Z