Kavli Affiliate: Tomoyuki Abe
| Summary:
The goal of this paper is to construct trace maps for the six functor formalism of motivic cohomology after Voevodsky, Ayoub, and Cisinski-Déglise. We also construct an $infty$-enhancement of such a trace formalism. In the course of the $infty$-enhancement, we need to reinterpret the trace formalism in a more functorial manner. This is done by using Suslin-Voevodsky’s relative cycle groups.
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