$C_3$-equivariant stable stems
Algebraic Topology
2026-04-21 v2
Abstract
We compute the spoke-graded -equivariant stable homotopy groups of spheres , for stems less than 25 (i.e. ) and for weights between -16 and 16 (i.e. ). In particular, for , this corresponds to the usual -graded homotopy groups of spheres for some fixed 2-dimensional -faithful representation . We also describe the geometric fixed point map and the underlying map .
Keywords
Cite
@article{arxiv.2505.10745,
title = {$C_3$-equivariant stable stems},
author = {Yueshi Hou and Shangjie Zhang},
journal= {arXiv preprint arXiv:2505.10745},
year = {2026}
}
Comments
Updated introduction and minor revisions. Comments are welcomed