The algebraic Novikov spectral sequence for topological modular forms
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917633725562880 |
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| author | Baer, J. Francis |
| author_facet | Baer, J. Francis |
| contents | We compute the $\mathbb{C}$-motivic Adams spectral sequence for $\mathit{mmf}/τ$. Up to reindexing, this spectral sequence is isomorphic to the algebraic Novikov spectral sequence for topological modular forms. We give a full analysis of the inclusion and projection maps which occur in the long exact sequence induced by multiplication by $τ$ on Adams $E_2$-pages. Our computation is totally algebraic and can be used to obtain the $E_2$-page of the Adams-Novikov spectral sequence for topological modular forms in a way that is independent from previous computations using the elliptic curves Hopf algebroid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05573 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The algebraic Novikov spectral sequence for topological modular forms Baer, J. Francis Algebraic Topology 55Q10, 55T15 We compute the $\mathbb{C}$-motivic Adams spectral sequence for $\mathit{mmf}/τ$. Up to reindexing, this spectral sequence is isomorphic to the algebraic Novikov spectral sequence for topological modular forms. We give a full analysis of the inclusion and projection maps which occur in the long exact sequence induced by multiplication by $τ$ on Adams $E_2$-pages. Our computation is totally algebraic and can be used to obtain the $E_2$-page of the Adams-Novikov spectral sequence for topological modular forms in a way that is independent from previous computations using the elliptic curves Hopf algebroid. |
| title | The algebraic Novikov spectral sequence for topological modular forms |
| topic | Algebraic Topology 55Q10, 55T15 |
| url | https://arxiv.org/abs/2404.05573 |