The defect recollement, the MacPherson-Vilonen construction, and pp formulas

Samuel Dean

For any abelian category $\mathcal{A}$, Auslander constructed a localisation $w:\mathrm{fp}({\mathcal{A}}^{\mathrm{op}},\mathrm{Ab})\to \mathcal{A}$ called the defect, which is the l…