arXiv:1608.02608 Abstract | arXiv Analytics

arXiv:1608.02608 [math.GT]Abstract References Reviews Resources

Quadrisecants and essential secants of knots: with applications to the geometry of knots

Published 2016-08-08Version 1

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.

Comments: 17 pages, 7 figures

Categories: math.GT

Keywords: applications, essential secant captures, quadrisecant line, survey article, brief history

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