Multivariable link invariants arising from and the Alexander polynomial

• Autores: Nathan Geer, Bertrand Patureau Mirand
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 210, Nº 1, 2007, págs. 283-298
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2006.09.015
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• Resumen

  • 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.