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arXiv · 2512.15509

Filtrations and cohomology III: cohomology of $E_\infty$ rings

Benjamin Antieau
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Abstract

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.

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Benjamin Antieau. 2025-12-17. Filtrations and cohomology III: cohomology of $E_\infty$ rings. https://arxiv.org/abs/2512.15509

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