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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 3, Pages 48–59
DOI: https://doi.org/10.4213/faa2865 (Mi faa2865) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Detecting the Orientation of String Links by Finite Type Invariants

S. V. Duzhin, M. V. Karev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (254 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa2865
Abstract: We prove the existence of a degree 7 Vassiliev invariant of long (string) links with two numbered components which is not preserved under orientation reversal. The proof is based on the study of a weight system with values in the tensor square of the universal enveloping algebra for the Lie algebra $\mathfrak{gl}_N$.
Keywords: link, knot, Vassiliev invariant, invertibility.
Received: 11.10.2005
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 3, Pages 208–216
DOI: https://doi.org/10.1007/s10688-007-0018-7
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: S. V. Duzhin, M. V. Karev, “Detecting the Orientation of String Links by Finite Type Invariants”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 48–59; Funct. Anal. Appl., 41:3 (2007), 208–216
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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