Geodesic
Trace formalism for motivic cohomology
Épijournal de Géométrie Algébrique, Tome 7 (2023)

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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.
DOI : 10.46298/epiga.2023.9742
Classification : 14F42, 18N60 
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     author = {Abe, Tomoyuki},
     title = {Trace formalism for motivic cohomology},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     volume = {7},
     year = {2023},
     doi = {10.46298/epiga.2023.9742},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.9742/}
}
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Abe, Tomoyuki. Trace formalism for motivic cohomology. Épijournal de Géométrie Algébrique, Tome 7 (2023). doi: 10.46298/epiga.2023.9742

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