Counting Generic Quadrisecants of Polygonal Knots

2015/02/10 by Cruz-Cota, Aldo-Hilario, Ramirez-Rosas, Teresita
#57M25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1502.03029

Abstract

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.

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