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Sbornik: Mathematics, 2010, Volume 201, Issue 6, Pages 785–800
DOI: https://doi.org/10.1070/SM2010v201n06ABEH004092 (Mi sm7655) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Refining virtual knot invariants by means of parity

D. M. Afanas'ev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (483 kB) Citations (13) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2010v201n06ABEH004092
Abstract: In this work two new invariants of virtual links are constructed: the even Alexander polynomial and the even quandle. The general idea behind the construction is to split the classical crossings into two types, the even and the odd ones, and then define different operations at the crossings of different types. On the other hand, the proposed construction is a realization of the same idea using two closely related languages: the language of quandles and the language of Alexander polynomials.
Bibliography: 15 titles.
Keywords: knot, virtual knot, parity, Alexander polynomial, minimality, quandle.
Received: 18.11.2009
Bibliographic databases:
Document Type: Article
UDC: 515.162+519.1
MSC: 57M25, 57M27
Language: English
Original paper language: Russian
Citation: D. M. Afanas'ev, “Refining virtual knot invariants by means of parity”, Sb. Math., 201:6 (2010), 785–800
Citation in format AMSBIB
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\by D.~M.~Afanas'ev
\paper Refining virtual knot invariants by means of parity
\jour Sb. Math.
\yr 2010
\vol 201
\issue 6
\pages 785--800
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  • https://doi.org/10.1070/SM2010v201n06ABEH004092
  • https://www.mathnet.ru/eng/sm/v201/i6/p3
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:735
    Russian version PDF:263
    English version PDF:50
    References:113
    First page:15
     
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