Topological recursion for the conifold transition of a torus knot

2016/07/05 by Fang, Bohan, Zong, Zhengyu
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1607.01208

Abstract

In this paper we prove a mirror symmetry conjecture based on the work of Brini-Eynard-Mariño \citeBEM and Diaconescu-Shende-Vafa \citeDSV. 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.

Related

• Torus knots in Lens spaces, open Gromov-Witten invariants, and topological recursion
• Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture
• Elliptic Gromov - Witten invariants and the generalized mirror\n conjecture
• Mirror curve of orbifold Hurwitz numbers
• A matrix model for the topological string I: Deriving the matrix model