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Let G be a reductive groups over an algebraically closed field k. Let P^{(i)}be associated parabolic subgroups, and X^{(i)}:=T^*G/P^i. The bounded derivedcategories of coherent sheaves on X^{(i)} are equivalent, but there is nocanonical equivalence. By refining a construction from a previous paper, weconstruct a local system of categories over a topological space V^0_C, wherethese categories are assigned to different points in V^0_C. Natural equivalencefunctors between these categories are parameterized by homotopy classes ofpaths between the corresponding points.

A Parameterization of D equivalences of coherent sheaves of symplectic resolutions of a given symplectic singularity