The quantum McKay correspondence for symplectic resolutions

Let $M$ be an algebraic symplectic manifold with a symplectic action of a finite group $G$, and let $X\to M/G$ be a smooth symplectic resolution. Choose deformation-quantizations $\mathsf{Quant}_M$ and $\mathsf{Quant}_X$ of the structure sheaves, and write $\mathsf{Quant}_M[1/\varepsilon]$ and $\mathsf{Quant}_X[1/\varepsilon]$ for their localizations. Let the cross-product algebra $\mathsf{Quant}_M[1/\varepsilon]\#G$ act on the category of coherent equivariant modules. The quantum McKay correspondence. For appropriate choices of deformation-quantizations, there is a category equivalence

$$\mathsf{Quant}_X[1/\varepsilon]\operatorname{-mod}\simeq (\mathsf{Quant}_M[1/\varepsilon]\#G)\operatorname{-mod}.$$

The source presents this as a quantum analogue of the Bridgeland–King–Reid theorem; no proof or resolution status is supplied.