Filtrations and cohomology III: cohomology of $E_\infty$ rings
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914205620240384 |
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| author | Antieau, Benjamin |
| author_facet | Antieau, Benjamin |
| contents | We discuss filtrations arising from de Rham-type cohomology theories for $E_\infty$ rings and $E_n$ rings. Examples include the HKR filtration on relative topological Hochschild homology, the Hodge filtration on $E_\infty$ infinitesimal cohomology, and the Hodge filtration on $E_\infty$ de Rham cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15509 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Filtrations and cohomology III: cohomology of $E_\infty$ rings Antieau, Benjamin Algebraic Topology K-Theory and Homology We discuss filtrations arising from de Rham-type cohomology theories for $E_\infty$ rings and $E_n$ rings. Examples include the HKR filtration on relative topological Hochschild homology, the Hodge filtration on $E_\infty$ infinitesimal cohomology, and the Hodge filtration on $E_\infty$ de Rham cohomology. |
| title | Filtrations and cohomology III: cohomology of $E_\infty$ rings |
| topic | Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2512.15509 |