Additive power operations in equivariant cohomology
Abstract
Abstract Let be a finite group and be an ‐ring ‐spectrum. For any ‐space and positive integer , we give an explicit description of the smallest Mackey ideal in for which the reduced th power operation is a map of Green functors. We obtain this result as a special case of a general theorem that we establish in the context of ‐Green functors. This theorem also specializes to characterize the appropriate ideal when is a ‐ring in global spectra. We give example computations for the sphere spectrum, complex ‐theory, and Morava ‐theory.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Publication details
- Journal / source
- Journal of Topology
- Volume
- 19
- Issue
- 1
- Publication date
- 11 February 2026
- Language
- EN