2016/08/08 by Elizabeth Denne, Denne, Elizabeth
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematics and Applications #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1608.02608
openalex publication_date 2016/08/08 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
A quadrisecant line is one which intersects a curve in at least four points, while an essential secant captures something about the knottedness of a knot. This survey article gives a brief history of these ideas, and shows how they may be applied to questions about the geometry of a knot via the total curvature, ropelength and distortion of a knot.