Quantum cohomology of the Springer resolution

Let G denote a complex, semi-simple, simply-connected group and B its associated flag variety. We identify the equivariant quantum differential equation for the cotangent bundle T⁎B with the affine Knizhnik–Zamolodchikov connection of Cherednik and Matsuo. This recovers Kimʼs description of quantum cohomology of B as a limiting case. A parallel result is proven for resolutions of the Slodowy slices. Extension to arbitrary symplectic resolutions is discussed.