Topological Hochschild homology and Zeta-values

2020/11/23 by Baptiste Morin, Morin, Baptiste · 1 citation
Mathematics · #11G40 #13D03 #14F10 #14F40 #19F27 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2011.11549

openalex publication_date 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using work of Antieau and Bhatt-Morrow-Scholze, we define a filtration on topological Hochschild homology and its variants TP and TC^- of quasi-lci rings with bounded torsion, which recovers the BMS-filtration after p-adic completion. Then we compute the graded pieces of this filtration in terms of Hodge completed derived de Rham cohomology relative to the base ring ℤ. We denote the cofiber of the canonical map from grⁿTC^-(-) to grⁿTP(-) by LΩ^

Citations

• On topological cyclic homology

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• Filtrations and cohomology III: cohomology of E_∞ rings

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