Affiliation:
1. Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
Abstract
We show that every non-trivial tame knot or link in ℝ3 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 ℝ3 which is a knotted torus must have degree at least eight.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
17 articles.
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