Determinants of rational knots

Details Determinants of rational knots Determinants of rational knots

2007-10-19

arxiv.org/abs/0710.3765v2

Mathematics

Geometric Topology

This is the revised version of the article formerly entitled Graded forests and rational knots. This version has been accepted

Scientific paper

We study the Fox coloring invariants of rational knots. We express the
propagation of the colors down the twists of these knots and ultimately the
determinant of them with the help of finite increasing sequences whose terms of
even order are even and whose terms of odd order are odd.

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