Wall-Crossings in Toric Gromov-Witten Theory II: Local Examples

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dc.creatorCoates, Tom
dc.date2008-04-16
dc.date.accessioned2026-07-07T09:32:56Z
dc.date.available2026-07-07T09:32:56Z
dc.descriptionIn this paper we analyze six examples of birational transformations between toric orbifolds: three crepant resolutions, two crepant partial resolutions, and a flop. We study the effect of these transformations on genus-zero Gromov-Witten invariants, proving the Coates-Corti-Iritani-Tseng/Ruan form of the Crepant Resolution Conjecture in each case. Our results suggest that this form of the Crepant Resolution Conjecture may also hold for more general crepant birational transformations. They also suggest that Ruan's original Crepant Resolution Conjecture should be modified, by including appropriate "quantum corrections", and that there is no straightforward generalization of either Ruan's original Conjecture or the Cohomological Crepant Resolution Conjecture to the case of crepant partial resolutions. Our methods are based on mirror symmetry for toric orbifolds.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/0804.2592
dc.identifierhttp://arxiv.org/abs/0804.2592
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158962
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subject53D45 (Primary); 14N35, 83E30 (Secondary)
dc.titleWall-Crossings in Toric Gromov-Witten Theory II: Local Examples
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