On Fibonacci Knots
classification
🧮 math.GT
keywords
fibonacciknotpolynomialsconwaydeduceequivknotslinks
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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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