Affiliation:
1. Université Pierre et Marie Curie, 4, place Jussieu, F-75252 Paris Cedex 05, France
Abstract
We show that no torus knot of type (2, n), n > 3 odd, can be obtained from a polynomial embedding t ↦ (f(t), g(t), h(t)) where (deg(f), deg(g)) ≤ (3, n + 1). Eventually, we give explicit examples with minimal lexicographic degree.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
7 articles.
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1. Classification of real rational knots of low degree in the 3-sphere;Journal of Knot Theory and Its Ramifications;2017-04
2. Harmonic knots;Journal of Knot Theory and Its Ramifications;2016-11
3. Untangling trigonal diagrams;Journal of Knot Theory and Its Ramifications;2016-06
4. On the lexicographic degree of two-bridge knots;Journal of Knot Theory and Its Ramifications;2016-06
5. CHEBYSHEV KNOTS;Journal of Knot Theory and Its Ramifications;2011-04