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

  • Author(s): Kuperberg, Greg
  • et al.

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