Kavli Affiliate: Tomoyuki Abe
| First 5 Authors: 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-D'{e}glise. 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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