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THH and Traces of Enriched Categories
International Mathematics Research Notices ( IF 1 ) Pub Date : 2020-09-08 , DOI: 10.1093/imrn/rnaa238
John D Berman 1
Affiliation  

We prove that topological Hochschild homology (THH) arises from a presheaf of circles on a certain combinatorial category, which gives a universal construction of THH for any enriched infinity category. Our results rely crucially on an elementary, model-independent framework for enriched higher category theory, which may be of independent interest.

中文翻译:

THH 和丰富类别的痕迹

我们证明拓扑霍克希尔德同调(THH)源自某个组合范畴上的一组预层圆,这为任何丰富的无穷大范畴给出了 THH 的普遍构造。我们的结果主要依赖于一个基本的、独立于模型的框架,用于丰富的高级范畴理论,这可能是独立的兴趣。
更新日期:2020-09-08
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