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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 266, Pages 107–130 (Mi znsl1241)  
This article is cited in 1 scientific paper (total in 1 paper)

Invariants of $\boldsymbol B$-Type Links via an Extension of the Kauffman Bracket

P. P. Kulish, A. M. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (420 kB) Citations (1)
Abstract: In this paper we find a method for constructing solid torus (or: $\boldsymbol B$-type) link invariants by means of extension of the Kauffman bracket for such links. This method can be viewed as the combination of the ideas proposed in [5, 7] and [8] with $\boldsymbol B$-type braid group theoretic approach to solid torus links which is given in [18]. Such method is shown to be compatible with skein relations of $\boldsymbol B$–type and leads to state sum expression for link invariant (in the case of the special diagrams).
Received: 23.08.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 4, Pages 598–613
DOI: https://doi.org/10.1023/A:1021198210356
Bibliographic databases:
UDC: 517
Language: English
Citation: P. P. Kulish, A. M. Nikitin, “Invariants of $\boldsymbol B$-Type Links via an Extension of the Kauffman Bracket”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Zap. Nauchn. Sem. POMI, 266, POMI, St. Petersburg, 2000, 107–130; J. Math. Sci. (N. Y.), 113:4 (2003), 598–613
Citation in format AMSBIB
\Bibitem{KulNik00}
\by P.~P.~Kulish, A.~M.~Nikitin
\paper Invariants of $\boldsymbol B$-Type Links via an Extension of the Kauffman Bracket
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 266
\pages 107--130
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1774650}
\zmath{https://zbmath.org/?q=an:1030.57010|1023.57010}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 4
\pages 598--613
\crossref{https://doi.org/10.1023/A:1021198210356}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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