Crepant resolution and the holomorphic anomaly equation for C^3/Z_3
Algebraic Geometry
2019-04-24 v2
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.
Keywords
Cite
@article{arxiv.1804.03168,
title = {Crepant resolution and the holomorphic anomaly equation for C^3/Z_3},
author = {Hyenho Lho and Rahul Pandharipande},
journal= {arXiv preprint arXiv:1804.03168},
year = {2019}
}
Comments
41 pages, typos corrected