The Intrinsic Normal Cone for Artin Stacks

We extend the construction of normal cone a closed embedding schemes to any locally morphism finite type higher Artin stacks and show that in Deligne-Mumford case our recovers relative intrinsic Behrend Fantechi. characterize extension as unique one satisfying short list axioms, use it construct deformation cone. As an application methods, we associate equipped with choice global perfect obstruction theory virtual fundamental class Chow group Kresch.