A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908333186744320 |
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| author | Isaksen, Daniel C. Kong, Hana Jia Li, Guchuan Ruan, Yangyang Zhu, Heyi |
| author_facet | Isaksen, Daniel C. Kong, Hana Jia Li, Guchuan Ruan, Yangyang Zhu, Heyi |
| contents | 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 $\mathrm{mmf}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16220 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Isaksen, Daniel C. Kong, Hana Jia Li, Guchuan Ruan, Yangyang Zhu, Heyi Algebraic Topology 55T15, 14F42 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 $\mathrm{mmf}$. |
| title | A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra |
| topic | Algebraic Topology 55T15, 14F42 |
| url | https://arxiv.org/abs/2504.16220 |