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

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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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Non-Autonomous Dynamical Systems Piecewise Monotonous Maps Renormalization Knots

Citation

SIMÕES, Pedro; SILVA, Luís Manuel Ferreira da; FRANCO, Nuno – Genus for knots and links in renormalizable templates with several branch nodes. Nonlinear Dynamics. ISSN: 0924-090X. Vol. 77, N.º 3 (2014), pp. 1035-1045.

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Springer

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