Mathematics – Algebraic Geometry
Scientific paper
2009-12-31
Mathematics
Algebraic Geometry
Scientific paper
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. Extension to arbitrary symplectic resolutions is discussed.
Braverman Alexander
Maulik Davesh
Okounkov Andrei
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