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arXiv · 2108.07459

Trace formalism for motivic cohomology

Tomoyuki Abe
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Abstract

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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Tomoyuki Abe. 2021-08-17. Trace formalism for motivic cohomology. https://doi.org/10.46298/epiga.2023.9742

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