On the equivariant motivic filtration of the topological Hochschild homology of polynomial algebras

2022/11/22 by Po Hu, Igor Kříž, Hu, Po +3
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2211.12381

openalex publication_date 2022/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We identify the equivariant structure of the filtered pieces of the motivic filtration defined by Bhatt, Morrow and Scholze on the topological Hochschild cohomology spectrum of polynomial algebras over \mathbbF_p.

Related

• Topological Hochschild homology and integral p-adic Hodge theory
• Hochschild homology of mod-p motivic cohomology over algebraically closed fields
• Syntomic cohomology and real topological cyclic homology
• Equivariant operations in topological Hochschild homology
• Spectral weight filtrations