Crepant Transformation Correspondence For Toric Stack Bundles
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912815439151104 |
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| author | Chao, Qian Chen, Jiun-Cheng Tseng, Hsian-Hua |
| author_facet | Chao, Qian Chen, Jiun-Cheng Tseng, Hsian-Hua |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Crepant Transformation Correspondence For Toric Stack Bundles Chao, Qian Chen, Jiun-Cheng Tseng, Hsian-Hua Algebraic Geometry Symplectic Geometry 14N35 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. |
| title | Crepant Transformation Correspondence For Toric Stack Bundles |
| topic | Algebraic Geometry Symplectic Geometry 14N35 |
| url | https://arxiv.org/abs/2410.22670 |