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Topological recursion for the conifold transition of a torus knot (1607.01208v2)
Published 5 Jul 2016 in math.AG, math-ph, math.GT, and math.MP
Abstract: In this paper we prove a mirror symmetry conjecture based on the work of Brini-Eynard-Mari~no \cite{BEM} and Diaconescu-Shende-Vafa \cite{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.