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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 252, Pages 114–133 (Mi tm66)  
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
Full-text PDF (279 kB) Citations (26)
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 252, Pages 104–121
DOI: https://doi.org/10.1134/S0081543806010111
Bibliographic databases:
UDC: 515.1
Language: Russian
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
Citation in format AMSBIB
\Bibitem{KauMan06}
\by L.~H.~Kaufman, V.~O.~Manturov
\paper Virtual Knots and Links
\inbook Geometric topology, discrete geometry, and set theory
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 252
\pages 114--133
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm66}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2255973}
\elib{https://elibrary.ru/item.asp?id=14754739}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 252
\pages 104--121
\crossref{https://doi.org/10.1134/S0081543806010111}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746063170}
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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