Root Systems and the Quantum Cohomology of ADE resolutions

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dc.creatorBryan, Jim
dc.creatorGholampour, Amin
dc.date2007-07-09
dc.date.accessioned2026-07-07T08:15:01Z
dc.date.available2026-07-07T08:15:01Z
dc.descriptionWe compute the C*-equivariant quantum cohomology ring of Y, the minimal resolution of the DuVal singularity C^2/G where G is a finite subgroup of SU(2). The quantum product is expressed in terms of an ADE root system canonically associated to G. We generalize the resulting Frobenius manifold to non-simply laced root systems to obtain an n parameter family of algebra structures on the affine root lattice of any root system. Using the Crepant Resolution Conjecture, we obtain a prediction for the orbifold Gromov-Witten potential of [C^2/G].
dc.identifierhttps://arxiv.org/abs/0707.1337
dc.identifierhttp://arxiv.org/abs/0707.1337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133333
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject14N35
dc.titleRoot Systems and the Quantum Cohomology of ADE resolutions
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