Crepant Transformation Correspondence For Toric Stack Bundles
Algebraic Geometry
2026-01-13 v2 Symplectic Geometry
Abstract
We prove a crepant transformation correspondence in genus zero Gromov-Witten theory for toric stack bundles related by crepant wall-crossings of the toric fibers. Specifically, we construct a symplectic transformation that identifies -functions toric stack bundles suitably analytically continued using Mellin-Barnes integral approach. We compare our symplectic transformation with a Fourier-Mukai isomorphism between the -groups.
Cite
@article{arxiv.2410.22670,
title = {Crepant Transformation Correspondence For Toric Stack Bundles},
author = {Qian Chao and Jiun-Cheng Chen and Hsian-Hua Tseng},
journal= {arXiv preprint arXiv:2410.22670},
year = {2026}
}
Comments
25 pages, preliminary version, comments very welcome; v2: 25 pages, revision to appear in Advances in Geometry