THH and traces of enriched categories

2019/11/04 by Berman, John D.
#Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1911.01341

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.

Related

• Hochschild cohomology with support
• Derived Higher Hochschild Homology, Topological Chiral Homology and\n Factorization algebras
• Algebraic string topology from the neighborhood of infinity
• Factorization homology of enriched ∞-categories
• Trace theories and localization