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

• Autores: Atsushi Ishii
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 225, Nº 2, 2006, págs. 273-286
• Idioma: inglés
• DOI: 10.2140/pjm.2006.225.273
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.