Crepant resolution and the holomorphic anomaly equation for C³/Z₃
classification
🧮 math.AG
keywords
anomalycorrespondencecrepantgromov-wittenholomorphicproofresolutionresult
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We study the orbifold Gromov-Witten theory of the quotient C^3/Z_3 in all genera. Our first result is a proof of the holomorphic anomaly equations in the precise form predicted by B-model physics. Our second result is an exact crepant resolution correspondence relating the Gromov-Witten theories of C^3/Z_3 and local CP2. The proof of the correspondence requires an identity proven in the Appendix by T. Coates and H. Iritani.
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