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Paper detail

Quantum cohomology of the Springer resolution

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.

preprint2010arXivOpen access
Alexander BravermanDavesh MaulikAndrei Okounkov
math.RTmath.AGhep-th
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Alexander BravermanDavesh MaulikAndrei Okounkov

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