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Funktsional'nyi Analiz i ego Prilozheniya, 1999, Volume 33, Issue 4, Pages 25–37
DOI: https://doi.org/10.4213/faa378 (Mi faa378) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Three-Page Approach to Knot Theory. Encoding and Local Moves

I. A. Dynnikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (1004 kB) Citations (12)
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DOI: https://doi.org/10.4213/faa378
Abstract: In the present paper, we suggest a new combinatorial approach to knot theory based on embeddings of knots and links into a union of three half-planes with the same boundary. The restriction of the number of pages to three (or any other number $\ge3$) provides a convenient way to encode links by words in a finite alphabet. For those words, we give a finite set of local changes that realizes the equivalence of links by analogy with the Reidemeister moves for planar link diagrams.
Received: 12.05.1999
English version:
Functional Analysis and Its Applications, 1999, Volume 33, Issue 4, Pages 260–269
DOI: https://doi.org/ 10.1007/BF02467109 https://doi.org/ 10.1007/BF02467109
Bibliographic databases:
Document Type: Article
UDC: 515.164.63
Language: Russian
Citation: I. A. Dynnikov, “Three-Page Approach to Knot Theory. Encoding and Local Moves”, Funktsional. Anal. i Prilozhen., 33:4 (1999), 25–37; Funct. Anal. Appl., 33:4 (1999), 260–269
Citation in format AMSBIB
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\by I.~A.~Dynnikov
\paper Three-Page Approach to Knot Theory. Encoding and Local Moves
\jour Funktsional. Anal. i Prilozhen.
\yr 1999
\vol 33
\issue 4
\pages 25--37
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\crossref{https://doi.org/10.4213/faa378}
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\zmath{https://zbmath.org/?q=an:0947.57005}
\transl
\jour Funct. Anal. Appl.
\yr 1999
\vol 33
\issue 4
\pages 260--269
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000086100900002}
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  • https://doi.org/10.4213/faa378
  • https://www.mathnet.ru/eng/faa/v33/i4/p25
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:60
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