4. Augmentation curves and disk potentials. Higher genus generalization and quantum curves

We describe the connection between the Gromov-Wiiten disk potential of a knot conormal in the resolved conifold and the augmentation variety of the Chekanov-Eliashberg algebra. We also briefly discuss the higher genus generalization of this result.  (Reports on joint work with Aganagic, Ng, and Vafa.)