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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 267, Pages 170–194 (Mi znsl1275)  
This article is cited in 1 scientific paper (total in 1 paper)

Chord diagrams, $d$-diagrams, and knots

V. O. Manturov

M. V. Lomonosov Moscow State University
Full-text PDF (333 kB) Citations (1)
Abstract: A method of representing knots, links, and singular knots and links by means of words in a finite alphabet and so-called $d$-diagrams is given. Also a representation of the chord diagram algebra in terms of words in a finite alphabet is considered. This method, unlike coding by Gauss diagrams, allows to consider knots and links simultaneously. An algorithm for recognition diagrams of classical knots in the terms of $d$-diagrams is given.
Received: 31.10.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 6, Pages 827–840
DOI: https://doi.org/10.1023/A:1021243520350
Bibliographic databases:
UDC: 515.162.8
Language: English
Citation: V. O. Manturov, “Chord diagrams, $d$-diagrams, and knots”, Geometry and topology. Part 5, Zap. Nauchn. Sem. POMI, 267, POMI, St. Petersburg, 2000, 170–194; J. Math. Sci. (N. Y.), 113:6 (2003), 827–840
Citation in format AMSBIB
\Bibitem{Man00}
\by V.~O.~Manturov
\paper Chord diagrams, $d$-diagrams, and knots
\inbook Geometry and topology. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 267
\pages 170--194
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1275}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1809826}
\zmath{https://zbmath.org/?q=an:1033.57002}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 6
\pages 827--840
\crossref{https://doi.org/10.1023/A:1021243520350}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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