Quantum cohomology of the Springer resolution

Understand

Let G denote a complex, semisimple, simply-connected group.

• We identify the equivariant quantum differential equation for the cotangent bundle to the flag variety of G with the affine Knizhnik-Zamolodchikov connection of Cherednik and Matsuo.
• This recovers Kim's description of quantum cohomology of the flag variety itself as a limiting case.
• A parallel result is proven for resolutions of the Slodowy slices.