McKay Equivalence for Symplectic Resolutions of Quotient Singularities

An arbitrary crepant resolution $X$ of the quotient $V/G$ of a symplectic vector space $V$ by the action of a finite subgroup $G\subset\mathrm{Sp}(V)$ is considered. It is proved that the derived category of coherent sheaves on $X$ is equivalent to the derived category of $G$-equivariant coherent sheaves on $V$.