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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 193, Pages 4–9 (Mi znsl4989)  
This article is cited in 3 scientific papers (total in 3 papers)

A new form of the Conway–Jones polynomial of oriented links

M. N. Gusarov
Full-text PDF (280 kB) Citations (3)
Abstract: A new invariant polynomial $f$ of an oriented link is constructed. It is shown to be reducible to the Conway–Jones polynomials of the link and of its sublinks, on the other hand the Conway–Jones polynomial is reducible to the new one. If $L$ is a split link, then $f_L=0$. A new notion is introduced: a link invariant of a finite degree. The polynomial $f$ consists of an infinite system of invariants of finite degrees.
Bibliographic databases:
Document Type: Article
UDC: 513.832/835
Language: Russian
Citation: M. N. Gusarov, “A new form of the Conway–Jones polynomial of oriented links”, Geometry and topology. Part 1, Zap. Nauchn. Sem. LOMI, 193, Nauka, Leningrad, 1991, 4–9
Citation in format AMSBIB
\Bibitem{Gus91}
\by M.~N.~Gusarov
\paper A new form of the Conway--Jones polynomial of oriented links
\inbook Geometry and topology. Part~1
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 193
\pages 4--9
\publ Nauka
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4989}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1157140}
\zmath{https://zbmath.org/?q=an:0747.57005}
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  • https://www.mathnet.ru/eng/znsl4989
  • https://www.mathnet.ru/eng/znsl/v193/p4
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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