The orbifold quantum cohomology of C^2/Z_3 and Hurwitz-Hodge integrals

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dc.creatorBryan, Jim
dc.creatorGraber, Tom
dc.creatorPandharipande, Rahul
dc.date2005-10-16
dc.date.accessioned2026-07-07T06:47:32Z
dc.date.available2026-07-07T06:47:32Z
dc.descriptionLet Z_3 act on C^2 by non-trivial opposite characters. Let X =[C^2/Z_3] be the orbifold quotient, and let Y be the unique crepant resolution. We show the equivariant genus 0 Gromov-Witten potentials of X and Y are equal after a change of variables -- verifying the Crepant Resolution Conjecture for the pair (X,Y). Our computations involve Hodge integrals on trigonal Hurwitz spaces which are of independent interest. In a self contained Appendix, we derive closed formulas for these Hurwitz-Hodge integrals.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0510335
dc.identifierhttp://arxiv.org/abs/math/0510335
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103685
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject14N35
dc.titleThe orbifold quantum cohomology of C^2/Z_3 and Hurwitz-Hodge integrals
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