Abstract

We show that the Alexander–Conway polynomial is recoverable from the Links–Gould (LG) polynomial via a certain reduction, and hence that the LG polynomial is a generalization of the Alexander–Conway polynomial. Furthermore, the LG polynomial inherits some properties of the Alexander–Conway polynomial. For example, the LG polynomial is a Laurent polynomial in a particular pair of symmetric variables, and this is related to a symmetry of the Alexander–Conway polynomial.

Keywords

Links–Gould link invariant, Alexander–Conway polynomial, quantum superalgebra

Mathematical Subject Classification

Primary: 57M27

Authors