We develop a theory of modulus sheaves with transfers, which generalizes Voevodsky's theory of sheaves with transfers. This paper and its sequel are foundational for the theory of motives with modulus, which is developed in Part III of this series.
Reference : Épijournal de géométrie algébrique 5 (2021), Article Nr. 1 https://doi.org/10.46298/epiga.2021.volume5.5979
ArXiv link : https://arxiv.org/abs/1908.02975v7
Hal link : https://hal.archives-ouvertes.fr/hal-03226204v1