Crepant resolution and the holomorphic anomaly equation for C³/Z₃
classification
🧮 math.AG
keywords
anomalycorrespondencecrepantgromov-wittenholomorphicproofresolutionresult
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: $\mathcal{O}(3)$ over $\mathbb{P}^2$
Proves quasi-modularity and derives holomorphic anomaly equation for twisted GW theory of O(3) over P².
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.