Quadrisecants of knots and links
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Quadrisecants of knots and links

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

Published Web Location

https://arxiv.org/pdf/math/9712205.pdf
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Abstract

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.

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