On Fibonacci Knots

Abstract

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 $(n,j)\ne (3,3),$ the Fibonacci knot $ \cF_j^{(n)} $ is not a Lissajous knot.

7p. Sumitted