Quantum Mckay correspondence in dimensions 2 and 3 -- Amin
Gholampour, Jan 28

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Abstract : Let G be a finite subgroup of SU(2) or SO(3). McKay
correspondence describes the classical geometry of G-Hilb (the
Hilbert scheme of G-clusters in C^2 or C^3) in terms of the
representation theory of G. We determine the Gromov-Witten theory
(without insertions) of G-Hilb and describe it in terms of a root
system canonically associated to G. This in particular describes the
quantum cohomology of G-Hilb in terms of the associated root system.