C₂-equivariant and R-motivic stable stems, II

2020/01/07 by Eva Belmont, Bertrand Guillou, Belmont, Eva +3
Mathematics · #14F42 #55Q45 #55Q91 #55T15 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2001.02251

openalex publication_date 2020/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the C₂-equivariant and ℝ-motivic stable homotopy groups are isomorphic in a range. This result supersedes previous work of Dugger and the third author.

Citations

• Galois equivariance and stable motivic homotopy theory
• R-motivic stable stems
• Stable Stems
• The special fiber of the motivic deformation of the stable homotopy category is algebraic

Related

• Z/2-equivariant and R-motivic stable stems
• C₂-Equivariant Stable Stems
• 𝐶₂-equivariant and ℝ-motivic stable stems II
• R-motivic stable stems
• Motivic homotopy theory and stable homotopy groups