Topological recursion for the conifold transition of a torus knot

Abstract

In this paper we prove a mirror symmetry conjecture based on the work of Brini-Eynard-Mari\~no BEM and Diaconescu-Shende-Vafa DSV. This conjecture relates open Gromov-Witten invariants of the conifold transition of a torus knot to the topological recursion on the B-model spectral curve.

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