The $\mathbb C$-motivic Adams-Novikov spectral sequence for topological modular forms
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908446791565312 |
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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 analyze the $\mathbb{C}$-motivic (and classical) Adams-Novikov spectral sequence for the $\mathbb{C}$-motivic modular forms spectrum $\mathit{mmf}$ (and for the classical topological modular forms spectrum $\mathit{tmf}$). We primarily use purely algebraic techniques, with a few exceptions. Along the way, we settle a previously unresolved detail about the multiplicative structure of the homotopy groups of $\mathit{tmf}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09123 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The $\mathbb C$-motivic Adams-Novikov spectral sequence for topological modular forms Isaksen, Daniel C. Kong, Hana Jia Li, Guchuan Ruan, Yangyang Zhu, Heyi Algebraic Topology 14F42, 55T15, 55Q10 We analyze the $\mathbb{C}$-motivic (and classical) Adams-Novikov spectral sequence for the $\mathbb{C}$-motivic modular forms spectrum $\mathit{mmf}$ (and for the classical topological modular forms spectrum $\mathit{tmf}$). We primarily use purely algebraic techniques, with a few exceptions. Along the way, we settle a previously unresolved detail about the multiplicative structure of the homotopy groups of $\mathit{tmf}$. |
| title | The $\mathbb C$-motivic Adams-Novikov spectral sequence for topological modular forms |
| topic | Algebraic Topology 14F42, 55T15, 55Q10 |
| url | https://arxiv.org/abs/2302.09123 |