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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.Comment: 7p ...
Koseleff, Pierre-Vincent, Pecker, Daniel
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Symmetric Criticality for Tight Knots [PDF]
We prove a version of symmetric criticality for ropelength-critical knots. Our theorem implies that a knot or link with a symmetric representative has a ropelength-critical configuration with the same symmetry.
Cantarella, Jason +3 more
core
Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]
Pinsky T.
europepmc +1 more source
Spatiotemporal pulse weaving scalar optical hopfions. [PDF]
Li C, Wang S, Li X.
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Simulating the Hadamard gate in the Fibonacci disk code for universal topological quantum computation. [PDF]
Wu YS.
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Symmetric tangled Platonic polyhedra. [PDF]
Hyde ST, Evans ME.
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Topological gelation of reconnecting polymers. [PDF]
Bonato A +3 more
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Knotting matters: orderly molecular entanglements. [PDF]
Ashbridge Z +5 more
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Four-dimensional aspects of tight contact 3-manifolds. [PDF]
Hedden M, Raoux K.
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Geometric Predictors of Knotted and Linked Arcs. [PDF]
Sleiman JL +4 more
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