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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
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
DOI:
https://doi.org/10.4213/mzm8740
Full text:
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English version:
Mathematical Notes, 2011, 90:2, 227–237
Bibliographic databases:
UDC:
515.162.8 Received: 30.03.2010 Revised: 09.10.2010
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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Linking options:
http://mi.mathnet.ru/eng/mz8740https://doi.org/10.4213/mzm8740 http://mi.mathnet.ru/eng/mz/v90/i2/p242
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Related articles on Google Scholar:
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This publication is cited in the following articles:
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M. V. Zenkina, “An invariant of knots in thickened surfaces”, Journal of Mathematical Sciences, 214:5 (2016), 728–740
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