55 citations · 199 across the 32 of their papers we have counts for
40 papers
Algebraic vs. analytic: a survey
Aravind Asok, Tom Bachmann, Michael J. Hopkins
Given a pair of complex algebraic varieties, we can ask: does every analytic map admit an algebraic representative? Such questions are most interesting when the source and target a…
-invariant motivic cohomology of schemes
Tom Bachmann, Elden Elmanto, Matthew Morrow
Voevodsky outlined a conjectural programme that his slice filtration in motivic homotopy theory should give rise to a good theory of -invariant motivic cohomology. Th…
Unstable motivic and real-étale homotopy theory
Aravind Asok, Tom Bachmann, Elden Elmanto +1
We prove that for any base scheme , real étale motivic (unstable) homotopy theory over coincides with unstable semialgebraic topology over (that is, sheaves of spaces on…
On P^1-stabilization in unstable motivic homotopy theory
Aravind Asok, Tom Bachmann, Michael J. Hopkins
We analyze stabilization with respect to in the Morel--Voevodsky unstable motivic homotopy theory. We introduce a refined notion of cellularity (a.k.a., biconnectiv…
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.