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arXiv · 2505.14474

On topological coHochschild homology and cotensor products

Jiaxi Zha
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Abstract

In this work, we first study the cotensor product of comodules in the $\infty$-category $\mathrm{Mod}_R$ for a connected $\mathbb{E}_{\infty}$-ring spectrum $R$. We then apply these results to analyze higher coalgebra structures of topological coHochschild homology (coTHH) and establish its Morita-Takeuchi invariance, which are precisely dual to the corresponding properties of topological Hochschild homology.

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Jiaxi Zha. 2025-05-20. On topological coHochschild homology and cotensor products. https://arxiv.org/abs/2505.14474

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