2026/07/21 by Catherine Li
#math.AT
In this document, we discuss how cyclic power operations for periodic complex bordism can be understood through algebraic geometry, following from the theory of power operations for Morava E-theory developed by Ando, Hopkins, and Strickland. Using this perspective, we describe how one computes power operations on the E-homology of BU and BU× ℤ, where E is a 2-periodic even 𝔼_∞ ring. Then we provide some explicit example computations at p=2; in particular, we compute the action of the additive operations Δ on the indecomposables \widehatQ(E0(BU)) for E=KU, E2.