Polynomial knots

2006/12/28 by Alan Durfee, Durfee, Alan, Donal O'Shea +1 · 1 citation
Mathematics · #14P25 #57M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT #msc:14P25 #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0612803

arxiv created 2006/12/28 · arxiv updated 2009/12/01

Abstract

A polynomial knot is a smooth embedding κ: \real → \realⁿ whose components are polynomials. The case n = 3 is of particular interest. It is both an object of real algebraic geometry as well as being an open ended topological knot. This paper contains basic results for these knots as well as many examples.

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