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WDVV-based recursion for open Gromov-Witten invariants (2402.10542v3)

Published 16 Feb 2024 in math.SG, hep-th, and math.AG

Abstract: We give a computability result for open Gromov-Witten invariants based on open 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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