THH and traces of enriched categories
K-Theory and Homology
2019-11-05 v1 Algebraic Topology
Category Theory
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.
Keywords
Cite
@article{arxiv.1911.01341,
title = {THH and traces of enriched categories},
author = {John D. Berman},
journal= {arXiv preprint arXiv:1911.01341},
year = {2019}
}
Comments
29 pages, comments welcome