Modulo 2 Conway polynomials of rational links
Résumé
We show that a polynomial is the modulo 2 Conway polynomial of a rational link if and only if it is a Fibonacci polynomial modulo 2. We deduce a simple proof of the Murasugi characterization of the modulo 2 Alexander polynomials of rational knots. We also deduce a fast algorithm to test when the Alexander polynomial of a rational knot $K$ is congruent to 1 modulo 2, which is a necessary condition for $K$ to be Lissajous.
Origine : Fichiers produits par l'(les) auteur(s)
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