完美样环的实拓扑Hochschild同调

IF 1.1 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2025-08-12 DOI:10.1112/topo.70032

Jens Hornbostel, Doosung Park

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引用次数: 0

摘要

我们将bhat - morrow - scholze关于THH $\ mathm {THH}$的几个结果改进为实拓扑Hochschild同调（THR $\ mathm {THR}$）。特别地，我们计算了完美曲面环的THR $\ mathm {THR}$。这将有助于在拟同子环的实拓扑Hochschild和循环同调上建立动机过滤。我们还建立了Hochschild-Kostant-Rosenberg定理的一个真正的改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Real topological Hochschild homology of perfectoid rings

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Real topological Hochschild homology of perfectoid rings

We refine several results of Bhatt–Morrow–Scholze on $THH$ to real topological Hochschild homology ( $THR$ ). In particular, we compute $THR$ of perfectoid rings. This will be useful for establishing motivic filtrations on real topological Hochschild and cyclic homology of quasisyntomic rings. We also establish a real refinement of the Hochschild–Kostant–Rosenberg theorem.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.