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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 3, Pages 641–659
DOI: https://doi.org/10.17377/smzh.2017.58.313 (Mi smj2886) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Generalizations of the Wada representations and virtual link groups

Yu. A. Mikhalchishina

Novosibirsk State Agricultural University, Novosibirsk, Russia
Full-text PDF (406 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2017.58.313
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.
Keywords: virtual knot groups, Wada representations, invariants of virtual knots.
Received: 01.09.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 3, Pages 500–514
DOI: https://doi.org/10.1134/S0037446617030132
Bibliographic databases:
Document Type: Article
UDC: 512.8
MSC: 35R30
Language: Russian
Citation: Yu. A. Mikhalchishina, “Generalizations of the Wada representations and virtual link groups”, Sibirsk. Mat. Zh., 58:3 (2017), 641–659; Siberian Math. J., 58:3 (2017), 500–514
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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