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arXiv · 2410.22670

Crepant Transformation Correspondence For Toric Stack Bundles

Qian Chao·Jiun-Cheng Chen·Hsian-Hua Tseng
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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 $I$-functions toric stack bundles suitably analytically continued using Mellin-Barnes integral approach. We compare our symplectic transformation with a Fourier-Mukai isomorphism between the $K$-groups.

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Qian Chao, Jiun-Cheng Chen, Hsian-Hua Tseng. 2024-10-30. Crepant Transformation Correspondence For Toric Stack Bundles. https://doi.org/10.1515/advgeom-2025-0037

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