Multivariable link invariants arising from image and the Alexander polynomial

In this paper we construct a multivariable link invariant arising from the quantum group associated with the special linear Lie superalgebra image. The usual quantum group invariant of links associated with (generic) representations of image is trivial. However, we modify this construction and define a non-trivial link invariant. This new invariant can be thought of as a multivariable version of the Links–Gould invariant. We also show that after a variable reduction our invariant specializes to the Conway potential function, which is a refinement of the multivariable Alexander polynomial.