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Computational tools for Real topological Hochschild homology

2024/08/13 by C. I. Lewis, Lewis, Chloe
Computer Science · Mathematics · #19D55 (Secondary) #55P91 (Primary) #Algebraic Topology (math.AT) #Digital Image Processing Techniques #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2408.07188

openalex publication_date 2024/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we construct a Real equivariant version of the Bökstedt spectral sequence which takes inputs in the theory of Real Hochschild homology developed by Angelini-Knoll, Gerhardt, and Hill and converges to the equivariant homology of Real topological Hochschild homology, THR. We also show that when A is a commutative C2-ring spectrum, THR(A) has the structure of an A-Hopf algebroid in the C2-equivariant stable homotopy category.

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