Counting Generic Quadrisecants of Polygonal Knots

Aldo-Hilario Cruz-Cota; Teresita Ramirez-Rosas

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arXiv · 1502.03029

Counting Generic Quadrisecants of Polygonal Knots

Aldo-Hilario Cruz-Cota·Teresita Ramirez-Rosas

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Abstract

Let $K$ be a polygonal knot in general position with vertex set $V$. A \emph{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 $K$.

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BibTeX RIS

Aldo-Hilario Cruz-Cota, Teresita Ramirez-Rosas. 2015-04-16. Counting Generic Quadrisecants of Polygonal Knots. https://arxiv.org/abs/1502.03029

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