The reduced ring of the $RO(C_2)$-graded $C_2$-equivariant stable stems

Eva Belmont; Zhouli Xu; Shangjie Zhang

The reduced ring of the $RO(C_2)$-graded $C_2$-equivariant stable stems

Algebraic Topology 2022-11-10 v1

Authors: Eva Belmont , Zhouli Xu , Shangjie Zhang

Abstract

We describe in terms of generators and relations the ring structure of the $RO(C_2)$ -graded $C_2$ -equivariant stable stems $\pi_\star^{C_2}$ modulo the ideal of all nilpotent elements. As a consequence, we also record the ring structure of the homotopy groups of the rational $C_2$ -equivariant sphere $\pi_\star^{C_2}(S_\mathbb{Q})$ .

Keywords

RO(C2)-graded C2-equivariant stable stems reduced ring nilpotent elements homotopy groups rational C2-equivariant sphere generators and relations

Cite

@article{arxiv.2211.04611,
  title  = {The reduced ring of the $RO(C_2)$-graded $C_2$-equivariant stable stems},
  author = {Eva Belmont and Zhouli Xu and Shangjie Zhang},
  journal= {arXiv preprint arXiv:2211.04611},
  year   = {2022}
}

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13 pages

The reduced ring of the $RO(C_2)$-graded $C_2$-equivariant stable stems

Abstract

Keywords

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