Stavros Garoufalidis

The colored Jones polynomial does not determine the Links--Gould polynomial

We prove that the colored Jones polynomial of a knot does not determine the Links--Gould polynomial (associated with the 4-dimensional representation of the Lie superalgebra $\mathfrak{sl}(2|1)$) with two different approaches: the first is to find a concrete genus 2 mutation pair with different Links--Gould polynomials...