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Filtrations and cohomology III: cohomology of $E_\infty$ rings (2512.15509v1)
Published 17 Dec 2025 in math.AT and math.KT
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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