C₂-Equivariant Stable Stems

2024/04/22 by Bertrand Guillou, Daniel C. Isaksen, Guillou, Bertrand J. +1 · 1 voice
Engineering · Mathematics · Physics and Astronomy · #55Q45 #55Q91 #55T15 #Algebraic Topology (math.AT) #Control and Stability of Dynamical Systems #FOS: Mathematics #Numerical methods for differential equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2404.14627

openalex publication_date 2024/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We compute the 2-primary C2-equivariant stable homotopy groups πC2s,c for stems between 0 and 25 (i.e., 0 ≤ s ≤ 25) and for coweights between -1 and 7 (i.e., -1 ≤ c ≤ 7). Our results, combined with periodicity isomorphisms and sufficiently extensive ℝ-motivic computations, would determine all of the C2-equivariant stable homotopy groups for all stems up to 20. We also compute the forgetful map πC2s,c → πcls to the classical stable homotopy groups in the same range.

Discussions

• Cyclically laughing, crying, and mute with wonder as I contemplate this chart. From arxiv.org/abs/2404.14627. [bsky, 5 points, 2 comments]

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