On topological coHochschild homology and cotensor products
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915644301115392 |
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| author | Zha, Jiaxi |
| author_facet | Zha, Jiaxi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On topological coHochschild homology and cotensor products Zha, Jiaxi Algebraic Topology 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. |
| title | On topological coHochschild homology and cotensor products |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2505.14474 |