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Sbornik: Mathematics, 2001, Volume 192, Issue 1, Pages 1–10
DOI: https://doi.org/10.1070/sm2001v192n01ABEH000533 (Mi sm533) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A formula for the generalized Sato–Levine invariant

P. M. Akhmet'eva, I. Maleshichb, D. Repovšc

a Steklov Mathematical Institute, Russian Academy of Sciences
b Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
c University of Ljubljana
English version PDF (831 kB) Citations (3) Russian version article
References:
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DOI: https://doi.org/10.1070/sm2001v192n01ABEH000533
Abstract: Let $W$ be the generalized Sato–Levine invariant, that is, the unique Vassiliev invariant of order 3 for two-component links that is equal to zero on double torus links of type $(1,k)$. It is proved that
$$ W=\beta-\frac{k^3-k}6\,, $$
where $\beta$ is the invariant of order 3 proposed by Viro and Polyak in the form of representations of Gauss diagrams and $k$ is the linking number.
Received: 03.06.1999 and 23.05.2000
Bibliographic databases:
UDC: 515.1
MSC: 57M27, 57M25
Language: English
Original paper language: Russian
Citation: P. M. Akhmet'ev, I. Maleshich, D. Repovš, “A formula for the generalized Sato–Levine invariant”, Sb. Math., 192:1 (2001), 1–10
Citation in format AMSBIB
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\paper A~formula for the generalized Sato--Levine invariant
\jour Sb. Math.
\yr 2001
\vol 192
\issue 1
\pages 1--10
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:414
    Russian version PDF:214
    English version PDF:25
    References:59
    First page:1
     
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