Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/znsl1275
  • https://www.mathnet.ru/eng/znsl/v267/p170
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:231
    Full-text PDF :156
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024