Resumen de The Links¿Gould polynomial as a generalization of the Alexander¿Conway polynomial

Atsushi Ishii

• 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.