This research demonstrates computability of open Gromov–Witten invariants in projective spaces, suggesting a connection to classical closed invariants.
We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several different definitions of open Gromov–Witten invariants. As an application, we prove vanishing properties for open Gromov–Witten invariants on products of projective spaces.
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Blumberg et al. (2026) studied this question.
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