Effective computation of the multivariable Alexander polinomial of Lorenz links |
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Authors: | Nuno Franco,Luí s Silva |
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Affiliation: | CIMA-UE and Department of Mathematics, University of Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal |
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Abstract: | Given two different representations of a Lorenz link, we compare how they affect the computation of the multivariable Alexander polynomial. We also compare the Alexander polynomial with the trip number and genus. Our experimental results lead us to conjecture that, for Lorenz knots, the Alexander polynomial is an equivalent invariant to the pair (trip number, genus). Finally, we give a counterexample in the case of Lorenz links. |
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Keywords: | Alexander polynomial Genus Trip number Lorenz knots |
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