Reciprocity sheaves
Bruno Kahn, Shuji Saito and Takao Yamazaki
We start developing a notion of reciprocity sheaves, generalizing Voevodsky's homotopy invariant presheaves with transfers which were used in the construction of his triangulated categories of motives. We hope reciprocity sheaves will eventually lead to the definition of a larger triangulated category of motivic nature, encompassing non homotopy invariant phenomena.
Reference : Compositio Math. 152 (2016) 1851-1898 10.1112/S0010437X16007466
ArXiv link : https://arxiv.org/abs/1402.4201
Hal link : https://hal.archives-ouvertes.fr/hal-02740597v1
Comments on this version : With two appendices by Kay Rülling