THH and Traces of Enriched Categories

DOI10.1093/IMRN/RNAA238zbMATH Open1484.18004arXiv1911.01341OpenAlexW3084436049MaRDI QIDQ5862771

John D. Berman

Publication date: 10 March 2022

Published in: Unnamed Author (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1911.01341

Mathematics Subject Classification ID

Enriched categories (over closed or monoidal categories) (18D20) Higher categories and homotopical algebra (18N99)

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