Open WDVV Equations and Frobenius Structures for Toric Calabi-Yau 3-Folds (2312.06160v3)

Published 11 Dec 2023 in math.AG and math.SG

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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