Recent advances in Quantum Topology assign q-series to knots in at least three different ways. The q-series are given by generalized Nahm sums (i.e., special qhypergeometric sums) and have unknownâ€¦ (More)

We study the structure of the stable coefficients of the Jones polynomial of an alternating link. We start by identifying the first four stable coefficients with polynomial invariants of a (reduced)â€¦ (More)

Rosso and Jones gave a formula for the colored Jones polynomial of a torus knot, colored by an irreducible representation of a simple Lie algebra. The Rosso-Jones formula involves a plethysmâ€¦ (More)

We formulate a stability conjecture for the coefficients of the colored Jones polynomial of a knot when the color lies in a fixed ray of a simple Lie algebra. Our conjecture is motivated by aâ€¦ (More)