## 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