English

Topological recursion for the conifold transition of a torus knot

Algebraic Geometry 2017-01-17 v2 Mathematical Physics Geometric Topology 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.

Keywords

Cite

@article{arxiv.1607.01208,
  title  = {Topological recursion for the conifold transition of a torus knot},
  author = {Bohan Fang and Zhengyu Zong},
  journal= {arXiv preprint arXiv:1607.01208},
  year   = {2017}
}

Comments

32 pages, 3 figures; typos corrected, minor revision