The descent spectral sequence for topological modular forms
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912140780109824 |
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| author | Carrick, Christian Davies, Jack Morgan van Nigtevecht, Sven |
| author_facet | Carrick, Christian Davies, Jack Morgan van Nigtevecht, Sven |
| contents | We prove the Gap Theorem for the spectrum of topological modular forms $\mathrm{Tmf}$. This removes a longstanding circularity in the literature, thereby confirming the computation of $π_\ast \mathrm{tmf}$ from over two decades ago by Hopkins and Mahowald. Our approach is crucially a modern one, developing and refining many techniques in synthetic spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The descent spectral sequence for topological modular forms Carrick, Christian Davies, Jack Morgan van Nigtevecht, Sven Algebraic Topology We prove the Gap Theorem for the spectrum of topological modular forms $\mathrm{Tmf}$. This removes a longstanding circularity in the literature, thereby confirming the computation of $π_\ast \mathrm{tmf}$ from over two decades ago by Hopkins and Mahowald. Our approach is crucially a modern one, developing and refining many techniques in synthetic spectra. |
| title | The descent spectral sequence for topological modular forms |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2412.01640 |