Crepant transformation correspondence for toric stack bundles

Advances in Geometry 2026 Open access

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Authors: Qian Chao, Jiun-Cheng Chen, Hsian‐Hua Tseng
DOI: 10.1515/advgeom-2025-0037
Cited by: 0
References: 14

Abstract

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 of toric stack bundles suitably analytically continued using Mellin-Barnes type integrals.We compare our symplectic transformation with a Fourier–Mukai isomorphism between the K -groups.

Fields of Study & Subjects

Cellular Automata and Applications Mathematical Dynamics and Fractals advanced mathematical theories

Publication details

Journal / source
Advances in Geometry
Publisher
Walter de Gruyter GmbH
Volume
26
Issue
1
Pages
105–125
Publication date
1 January 2026
Language
EN