Abstract
Let be a Gorenstein orbifold with projective coarse moduli space and let be a crepant resolution of . We state a conjecture relating the genus-zero Gromov–Witten invariants of to those of , which differs in general from the Crepant Resolution Conjectures of Ruan and Bryan–Graber, and prove our conjecture when and . As a consequence, we see that the original form of the Bryan–Graber Conjecture holds for but is probably false for . Our methods are based on mirror symmetry for toric orbifolds.
Citation
Tom Coates. Hiroshi Iritani. Hsian-Hua Tseng. "Wall-crossings in toric {G}romov–{W}itten theory {I}: crepant examples." Geom. Topol. 13 (5) 2675 - 2744, 2009. https://doi.org/10.2140/gt.2009.13.2675
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