Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897737 | Physica D: Nonlinear Phenomena | 2008 | 7 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nuno Franco, LuÃs Silva,