Geodesic
Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e76

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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. 
Yu, Song; Zong, Zhengyu. Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e76. doi: 10.1017/fms.2025.14
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