On Fibonacci Knots

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

We show that the Conway polynomials of Fibonacci links are Fibonacci
polynomials modulo 2. We deduce that, when $ n \not\equiv 0 \Mod 4$ and $(n,j)
\neq (3,3),$ the Fibonacci knot $ \cF_j^{(n)} $ is not a Lissajous knot.

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