Topological recursion for the conifold transition of a torus knot
  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. 
Bohan Fang and Zhengyu Zong
math.AG math-ph math.GT math.MP