Counting Generic Quadrisecants of Polygonal Knots

Aldo-Hilario Cruz-Cota, Teresita Ramirez-Rosas

Published 2015-02-10Version 1

Let $K$ be a polygonal knot in general position with vertex set $V$. A generic quadrisecant of $K$ is a line that is disjoint from the set $V$ and intersects $K$ in exactly four distinct points. We give an upper bound for the number of generic quadrisecants of a polygonal knot $K$ in general position. This upper bound is in terms of the number of edges of $K$.