Resumen de Multivariable link invariants arising from and the Alexander polynomial

Nathan Geer, Bertrand Patureau Mirand

• In this paper we construct a multivariable link invariant arising from the quantum group associated with the special linear Lie superalgebra . The usual quantum group invariant of links associated with (generic) representations of 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.