3 citations · 3 across the 3 of their papers we have counts for
6 papers · 1 filter
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…
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.
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…
Remarks on étale motivic stable homotopy theory
Tom Bachmann, Marc Hoyois
We strengthen some results in étale (and real étale) motivic stable homotopy theory, by eliminating finiteness hypotheses, additional localizations and/or extending to spectra from…
The Chow -structure on the -category of motivic spectra
Tom Bachmann, Hana Jia Kong, Guozhen Wang +1
We define the Chow -structure on the -category of motivic spectra over an arbitrary base field . We identify the heart of this -structure $SH(k)^{c\heartsu…
A1-invariants in Galois cohomology and a claim of Morel
Tom Bachmann
We establish a variant of the splitting principle of Garibaldi-Merkurjev-Serre for invariants taking values in a strictly homotopy invariant sheaf. As an application, we prove the…