The reduced ring of the 𝑅𝑂(𝐶₂)-graded 𝐶₂-equivariant stable stems

Proceedings of the American Mathematical Society, Series B Pub Date : 2024-01-05 DOI:10.1090/bproc/203

Eva Belmont, Zhouli Xu, Shangjie Zhang

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引用次数: 0

Abstract

We describe in terms of generators and relations the ring structure of the R O ( C 2 ) RO(C_2) -graded C 2 C_2 -equivariant stable stems π ⋆ C 2 \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 C_2 -equivariant sphere π ⋆ C 2 ( S Q ) \pi _\star ^{C_2}(\mathbb {S}_\mathbb {Q}) .

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𝑅𝑂(𝐶₂)-等级化的𝑅𝑂(𝐶₂)-广义稳定茎的还原环

我们用生成器和关系来描述 R O ( C 2 ) RO(C_2) -等级的 C 2 C_2 -等价稳定茎 π ⋆ C 2 \pi _\star ^{C_2} modulo the ideal of all nilpotent elements 的环结构。因此，我们还记录了有理 C 2 C_2 -等价球 π ⋆ C 2 ( S Q ) \pi _\star ^{C_2}(\mathbb {S}_\mathbb {Q}) 的同调群的环结构。

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来源期刊

Proceedings of the American Mathematical Society, Series B

CiteScore

1.60

自引率

0.00%

发文量