Quadrisecants of knots and links
Skip to main content
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

Quadrisecants of knots and links

Published Web Location

No data is associated with this publication.

We show that every non-trivial tame knot or link in R^3 has a quadrisecant, i.e. four collinear points. The quadrisecant must be topologically non-trivial in a precise sense. As an application, we show that a nonsingular, algebraic surface in R^3 which is a knotted torus must have degree at least eight.

Item not freely available? Link broken?
Report a problem accessing this item