Motivic stable homotopy groups

2018/11/14 by Daniel C. Isaksen, Isaksen, Daniel C., Paul Arne Østvær +1
Computer Science · Mathematics · #14F42 #55Q45 #55T15 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1811.05729

openalex publication_date 2018/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, and the effective slice spectral sequence. We state some projects for future study.

Related

• Motivic homotopy theory and stable homotopy groups
• Periodic phenomena in stable motivic homotopy theory
• Stable homotopy groups of spheres: From dimension 0 to 90
• R-motivic stable stems
• The first stable homotopy groups of motivic spheres