Reconstructing rational stable motivic homotopy theory

Abstract

Using a recent computation of the rational minus part of $SH(k)$ by Ananyevskiy-Levine-Panin, a theorem of Cisinski-Deglise and a version of the Roendigs-Ostvaer theorem, rational stable motivic homotopy theory over an infinite perfect field of characteristic different from 2 is recovered in this paper from finite Milnor-Witt correspondences in the sense of Calmes-Fasel.

This is the final version, accepted in Compositio Mathematica

References in corpus (1)

• Motivic and Real Etale Stable Homotopy Theory

Cited by in corpus (5)

• On the rational motivic homotopy category
• On Modules Over Motivic Ring Spectra
• Thom isomorphisms in triangulated motivic categories
• Cohomological correspondence categories
• Milnor-Witt motivic cohomology and linear algebraic groups