For oriented $-1$ -shifted symplectic derived Artin stacks, Ben-Bassat, Brav, Bussi and Joyce introduced certain perverse sheaves on them which can be regarded as sheaf-theoretic categorifications of the Donaldson–Thomas invariants. In this paper, we prove that hypercohomology above sheaf cotangent stack over a quasi-smooth is isomorphic to Borel–Moore homology base up shift degree. This global...