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arxiv: 1607.01208 · v2 · pith:7TY2FWFNnew · submitted 2016-07-05 · 🧮 math.AG · math-ph· math.GT· math.MP

Topological recursion for the conifold transition of a torus knot

classification 🧮 math.AG math-phmath.GTmath.MP
keywords citeconifoldconjectureknotrecursiontopologicaltorustransition
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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.

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