The Crepant Resolution Conjecture for Type A Surface Singularities

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dc.creatorCoates, Tom
dc.creatorCorti, Alessio
dc.creatorIritani, Hiroshi
dc.creatorTseng, Hsian-Hua
dc.date2007-04-16
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:12Z
dc.date.available2026-07-07T09:49:12Z
dc.descriptionLet X be an orbifold with crepant resolution Y. The Crepant Resolution Conjectures of Ruan and Bryan-Graber assert, roughly speaking, that the quantum cohomology of X becomes isomorphic to the quantum cohomology of Y after analytic continuation in certain parameters followed by the specialization of some of these parameters to roots of unity. We prove these conjectures in the case where X is a surface singularity of type A. The key ingredient is mirror symmetry for toric orbifolds.
dc.description19 pages. v2: references updated; corrected our description of the work of Davesh Maulik. v3: please note that this preprint has been superseded by arXiv:math/0702234v3. The material here, with various typos corrected, appears as Appendix A there
dc.identifierhttps://arxiv.org/abs/0704.2034
dc.identifierhttp://arxiv.org/abs/0704.2034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164498
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subject14N35 (Primary); 14A20, 53D45 (Secondary)
dc.titleThe Crepant Resolution Conjecture for Type A Surface Singularities
dc.typetext

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