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Some classes of fibered links

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Abstract

We present two infinite classes of links and prove their fiberedness. The grid diagrams are used for combinatorial description. The first class generalizes the Lorentz links and is characterized by the fact that every second vertex in the diagram of each representative of the family lies on the coordinate diagonal of the grid diagram. The complements of the knots of the second class admit a free action of ℝ n .

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    R. V. Razumovskiĭ

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  1. R. V. Razumovskiĭ
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Correspondence to R. V. Razumovskiĭ.

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Original Russian Text Copyright © 2014 Razumovskiĭ R.V.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 4, pp. 840–850, July–August, 2014.

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Razumovskiĭ, R.V. Some classes of fibered links. Sib Math J 55, 687–695 (2014). https://doi.org/10.1134/S0037446614040107

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  • DOI: https://doi.org/10.1134/S0037446614040107

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