The Crepant Resolution Conjecture

dc.creatorBryan, Jim
dc.creatorGraber, Tom
dc.date2006-10-03
dc.date2007-01-07
dc.date.accessioned2026-07-07T07:38:42Z
dc.date.available2026-07-07T07:38:42Z
dc.descriptionFor orbifolds admitting a crepant resolution and satisfying a hard Lefschetz condition, we formulate a conjectural equivalence between the Gromov-Witten theories of the orbifold and the resolution. We prove the conjecture for the equivariant Gromov-Witten theories of the nth symmetric product of the complex plane and the Hilbert scheme of n points in the plane.
dc.descriptionThe relationship between our conjecture and Ruan's original conjecture is clarified. We have also added the Hard Lefschetz hypothesis for our orbifolds, a condition whose necessity was made clear by the very nice recent paper of Coates, Corti, Iritani, and Tseng (math.AG/0611550)
dc.identifierhttps://arxiv.org/abs/math/0610129
dc.identifierhttp://arxiv.org/abs/math/0610129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121186
dc.subjectAlgebraic Geometry
dc.subject14N35
dc.titleThe Crepant Resolution Conjecture
dc.typetext

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