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Generalizations of the Wada representations and virtual link groups

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Abstract

We extend the Wada representations of the classical braid group to the virtual and welded braid groups. Using the resulting representations, we construct the groups of virtual links and prove that they are link invariants. We give some examples of calculating the groups of torus (virtual) links.

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Authors and Affiliations

  1. Novosibirsk State Agricultural University, Novosibirsk, Russia

    Yu. A. Mikhalchishina

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  1. Yu. A. Mikhalchishina
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Correspondence to Yu. A. Mikhalchishina.

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Original Russian Text Copyright © 2017 Mikhalchishina Yu.A.

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Mikhalchishina, Y.A. Generalizations of the Wada representations and virtual link groups. Sib Math J 58, 500–514 (2017). https://doi.org/10.1134/S0037446617030132

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  • DOI: https://doi.org/10.1134/S0037446617030132

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