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Contemporary Mathematics. Fundamental Directions, 2013, Volume 51, Pages 21–32
(Mi cmfd252)
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This article is cited in 1 scientific paper (total in 1 paper)
An invariant of knots in thickened surfaces
M. V. Zenkina Faculty of Mathematics, Moscow State Pedagogical University, Moscow, Russia
Abstract:
In the present paper, we construct an invariant of knots in the thickened sphere with $g$g handles dependent on $2g+3$ variables. In the construction of the invariant we use the Wirtinger presentation of the knot group and the concept of parity introduced by Manturov [9]. In the present paper, we also consider examples of knots in the thickened torus considered in [2] such that their nonequivalence is proved by using the constructed polynomial.
Citation:
M. V. Zenkina, “An invariant of knots in thickened surfaces”, Topology, CMFD, 51, PFUR, M., 2013, 21–32; Journal of Mathematical Sciences, 214:5 (2016), 728–740
Linking options:
https://www.mathnet.ru/eng/cmfd252 https://www.mathnet.ru/eng/cmfd/v51/p21
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Abstract page: | 195 | Full-text PDF : | 72 | References: | 45 |
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