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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 252, Pages 114–133
(Mi tm66)
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This article is cited in 26 scientific papers (total in 26 papers)
Virtual Knots and Links
L. H. Kaufmana, V. O. Manturov a Eastern Illinois University
Abstract:
This paper is an introduction to the subject of virtual knot theory and presents a discussion of some new specific theorems about virtual knots. The new results are as follows:
Using a 3-dimensional topology approach, we prove that if a connected sum of two virtual knots $K_1$ and $K_2$ is trivial, then so are both $K_1$ and $K_2$. We establish an algorithm for recognizing virtual links that is based on the Haken–Matveev technique.
Received in June 2005
Citation:
L. H. Kaufman, V. O. Manturov, “Virtual Knots and Links”, Geometric topology, discrete geometry, and set theory, Collected papers, Trudy Mat. Inst. Steklova, 252, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 114–133; Proc. Steklov Inst. Math., 252 (2006), 104–121
Linking options:
https://www.mathnet.ru/eng/tm66 https://www.mathnet.ru/eng/tm/v252/p114
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Abstract page: | 1149 | Full-text PDF : | 687 | References: | 78 |
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