Article ID Journal Published Year Pages File Type
1897737 Physica D: Nonlinear Phenomena 2008 7 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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