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arXiv · 2511.01567

Filtrations and cohomology I: crystallization

Benjamin Antieau
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Abstract

We compare several different notions of filtered derived commutative ring, discussing HKR-filtered Hochschild homology, Hodge-filtered de Rham cohomology, and the lesser-known Hodge-filtered infinitesimal cohomology. Our main result is that de Rham cohomology is the crystallization of infinitesimal cohomology.

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Benjamin Antieau. 2025-11-03. Filtrations and cohomology I: crystallization. https://arxiv.org/abs/2511.01567

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