Computational tools for Real topological Hochschild homology

Chloe Lewis

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arXiv · 2408.07188

Computational tools for Real topological Hochschild homology

Chloe Lewis

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Abstract

In this paper, we construct a Real equivariant version of the B\"okstedt 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, $\text{THR}$. We also show that when $A$ is a commutative $C_2$-ring spectrum, $\text{THR}(A)$ has the structure of an $A$-Hopf algebroid in the $C_2$-equivariant stable homotopy category.

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Chloe Lewis. 2024-08-13. Computational tools for Real topological Hochschild homology. https://arxiv.org/abs/2408.07188

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