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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 242–253
DOI: https://doi.org/10.4213/mzm8740 (Mi mzm8740) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Invariant of Links in the Thickened Torus

M. V. Zenkina

Moscow State Pedagogical University
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DOI: https://doi.org/10.4213/mzm8740
Abstract: An invariant of links with two and more components in the thickened torus is constructed; the invariant depends on several variables. The construction uses Kauffman's formal theory, which is based on Dehn's representation of knot groups. This invariant is a natural generalization of a polynomial $z$ constructed by Zenkina and Manturov.
Keywords: link in the thickened torus, virtual knot, invariant of links, link diagram, regular link diagram, shadow of a link diagram, Kaufmann's formal theory, Dehn's presentation.
Received: 30.03.2010
Revised: 09.10.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 227–237
DOI: https://doi.org/10.1134/S0001434611070224
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: M. V. Zenkina, “An Invariant of Links in the Thickened Torus”, Mat. Zametki, 90:2 (2011), 242–253; Math. Notes, 90:2 (2011), 227–237
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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