Genus for knots and links in renormalizable templates with several branch nodes

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Springer Science+Business Media Dordrecht 2014

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We apply kneading theory to describe the knots and links generated by the iteration of renormalizable nonautonomous dynamical systems with reducible kneading invariants, in terms of the links corresponding to each factor. As a consequence we obtain explicit formulas for the genus for this kind of knots and links.

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Simões, Pedro; Silva, Luís; Franco, Nuno, "Genus for knots and links in renormalizable templates with several branch nodes", J Nonlinear Dynamics, V 77, N 3, P 1035-1045.

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