Filtrations and cohomology III: cohomology of E∞ rings
Abstract
We discuss filtrations arising from de Rham-type cohomology theories for E∞ rings and En rings. Examples include the HKR filtration on relative topological Hochschild homology, the Hodge filtration on E∞ infinitesimal cohomology, and the Hodge filtration on E∞ de Rham cohomology.
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