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arXiv · 2504.16220

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra

Daniel C. Isaksen·Hana Jia Kong·Guchuan Li·Yangyang Ruan·Heyi Zhu
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Abstract

We study a particular family of elements in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra, also known as the $\mathbb{C}$-motivic Adams $E_2$-page. This family exhibits unusual periodicity properties, and it is related both to $h_1$-localization and to the algebraic Hurewicz image of the motivic modular forms spectrum $\mathrm{mmf}$.

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Daniel C. Isaksen, Hana Jia Kong, Guchuan Li, Yangyang Ruan, Heyi Zhu. 2025-04-22. A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra. https://arxiv.org/abs/2504.16220

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