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All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes

Bohan Fang, Chiu-Chu Melissa Liu, Song Yu, Zhengyu Zong

Source record

Source: arXiv

Published: Sep 11, 2026

arXiv: 2609.12955

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Source abstract

We prove the all-genus open mirror symmetry of a toric Calabi-Yau 3-orbifold where the boundary condition is given by multiple Aganagic-Vafa branes. Each brane could be either inner or outer, and admit a fractional framing. The B-model is given by the Chekhov-Eynard-Orantin topological recursion expanded in local coordinates specified by the brane data.

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All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes — Mathematical Frontier Network