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arXiv · 2312.06160

Open WDVV Equations and Frobenius Structures for Toric Calabi-Yau 3-Folds

Song Yu·Zhengyu Zong
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Abstract

Let $X$ be a toric Calabi-Yau 3-fold and let $L\subset X$ be an Aganagic-Vafa outer brane. We prove two versions of open WDVV equations for the open Gromov-Witten theory of $(X,L)$. The first version of the open WDVV equation leads to the construction of a semi-simple (formal) Frobenius manifold and the second version leads to the construction of a flat (formal) $F$-manifold.

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Song Yu, Zhengyu Zong. 2023-12-11. Open WDVV Equations and Frobenius Structures for Toric Calabi-Yau 3-Folds. https://doi.org/10.1017/fms.2025.14

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