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math.KT2022
Normed motivic spectra and power operations
Tom Bachmann, Elden Elmanto, Jeremiah Heller
We use motivic colimits to construct power operations on the homotopy groups of normed motivic spectra admitting a (normed) map from HF_2. We establish enough of their standard pro…
math.KT2022
Splitting results for normed motivic spectra
Tom Bachmann, Elden Elmanto, Jeremiah Heller
We prove that the universal normed motivic spectrum of characteristic 2 over a scheme on which 2 is a unit, splits into a sum of motivic Eilenberg--MacLane spectra.
math.KT2022
Motivic spectral Mackey functors
Tom Bachmann
We show that if G is a finite constant group acting on a scheme X such that the order of G is invertible in the residue fields of X, then the G-equivariant motivic stable homotopy…