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arXiv · 1804.03168

Crepant resolution and the holomorphic anomaly equation for C^3/Z_3

Hyenho Lho·Rahul Pandharipande
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Abstract

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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Hyenho Lho, Rahul Pandharipande. 2018-04-09. Crepant resolution and the holomorphic anomaly equation for C^3/Z_3. https://doi.org/10.1112/plms.12248

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