Quantum Mirror Curves for ${\mathbb{C}}^3$ and the Resolved Confiold

Abstract

We establish a conjecture of Gukov and Sułkowski in the following three cases: Lambert curve for Hurwitz numbers, framed mirror curve of ${\mathbb{C}}^3$, and the framed mirror curve of the resolved conifold.

References in corpus (6)

• Open string amplitudes and large order behavior in topological string theory
• Local Mirror Symmetry for One-Legged Topological Vertex
• Hodge integrals, Hurwitz numbers, and Symmetric Groups
• Bouchard-Klemm-Marino-Pasquetti Conjecture for ${\mathbb{C}}^3$
• Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
• Symmetrized cut-join equation of Marino-Vafa formula