hal-00408736, version 1

ON FIBONACCI KNOTS

Pierre-Vincent Koseleff () ^1, 2, Daniel Pecker () ¹

(2009-08-02)

• 1:  Université Pierre et Marie Curie - Paris 6 (UPMC)
• http://www.upmc.fr/
  Université Pierre et Marie Curie [UPMC] - Paris VI 4 place Jussieu - 75005 Paris France
• 2:  SALSA (INRIA Rocquencourt)
• 
  INRIA – CNRS : UMR7606 – Université Pierre et Marie Curie [UPMC] - Paris VI France

Bibliographic reference

• Type of document: Documents without publication reference (Preprint)
• Subject: Mathematics/Geometric Topology
• Title: 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 $(n,j) \neq (3,3),$ the Fibonacci knot $ \cF _j^{(n)} $ is not a Lissajous knot.
• Fulltext language: English
• Production date: 2009-08-02
• Keyword(s): Fibonacci polynomials – Fibonacci knots – continued fractions
• Comment: 7p. Sumitted

Attached file list to this document: 

TEX

kp5.tex(6.3 KB)

text-fibo.tex(15.8 KB)

C2.eps(22 KB)

C3.eps(28.1 KB)

C22.eps(34.1 KB)

C33.eps(46.1 KB)

C111.eps(28.1 KB)

C222.eps(46 KB)

C333.eps(63.7 KB)

C1111.eps(34.1 KB)

kr1bb.eps(156.8 KB)

kr2bb.eps(156.4 KB)

PDF

kp5.pdf(273 KB)

PS

kp5.ps(755.7 KB)

• hal-00408736, version 1
• http://hal.archives-ouvertes.fr/hal-00408736
• oai:hal.archives-ouvertes.fr:hal-00408736
• From: Pierre-Vincent Koseleff <>
• Submitted on: Sunday, 2 August 2009 17:43:02
• Updated on: Sunday, 2 August 2009 22:01:07