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arXiv · 2211.04611

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

Eva Belmont·Zhouli Xu·Shangjie Zhang
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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 $\pi_\star^{C_2}(S_\mathbb{Q})$.

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Eva Belmont, Zhouli Xu, Shangjie Zhang. 2022-11-08. The reduced ring of the $RO(C_2)$-graded $C_2$-equivariant stable stems. https://doi.org/10.1090/bproc%2F203

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