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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 208, Pages 152–173 (Mi znsl5836)  
This article is cited in 2 scientific papers (total in 2 papers)

On $n$-equivalence of knots and invariants of finite degree

M. N. Gusarov
Full-text PDF (1131 kB) Citations (2)
Abstract: A notion of $n$-equivalence of knots is introduced and it is shown that the equivalence classes with the connected sum operation make finitely generated abelian groups composing an inverse sequence. The $n$-equivalence class of knot is the universal invariant of degree $n$ (Vassiliev invariant). Bibliography: 3 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 81, Issue 2, Pages 2549–2561
DOI: https://doi.org/10.1007/BF02362425
Bibliographic databases:
Document Type: Article
UDC: 515.164.634
Language: Russian
Citation: M. N. Gusarov, “On $n$-equivalence of knots and invariants of finite degree”, Investigations in topology. Part 7, Zap. Nauchn. Sem. POMI, 208, Nauka, St. Petersburg, 1993, 152–173; J. Math. Sci., 81:2 (1996), 2549–2561
Citation in format AMSBIB
\Bibitem{Gus93}
\by M.~N.~Gusarov
\paper On $n$-equivalence of knots and invariants of finite degree
\inbook Investigations in topology. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 208
\pages 152--173
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5836}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1259042}
\zmath{https://zbmath.org/?q=an:0824.57002}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 81
\issue 2
\pages 2549--2561
\crossref{https://doi.org/10.1007/BF02362425}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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