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Algebra i Analiz, 2006, Volume 18, Issue 3, Pages 63–157 (Mi aa74)  
This article is cited in 32 scientific papers (total in 32 papers)

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Quantum relatives of the Alexander polynomial

O. Ya. Viroab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Uppsala University, Uppsala, Sweden
Full-text PDF (682 kB) Citations (32)
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Abstract: The multivariable Conway function is generalized to oriented framed trivalent graphs equipped with additional structure (coloring). This is done via refinements of Reshetikhin–Turaev functors based on irreducible representations of quantized $\mathrm{gl}(1|1)$ and $\mathrm{sl}(2)$. The corresponding face state sum models for the generalized Conway function are presented.
Received: 10.01.2006
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 3, Pages 391–457
DOI: https://doi.org/10.1090/S1061-0022-07-00956-9
Bibliographic databases:
Document Type: Article
MSC: 05C99, 81R99, 57M25
Language: Russian
Citation: O. Ya. Viro, “Quantum relatives of the Alexander polynomial”, Algebra i Analiz, 18:3 (2006), 63–157; St. Petersburg Math. J., 18:3 (2007), 391–457
Citation in format AMSBIB
\Bibitem{Vir06}
\by O.~Ya.~Viro
\paper Quantum relatives of the Alexander polynomial
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 3
\pages 63--157
\mathnet{http://mi.mathnet.ru/aa74}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2255851}
\zmath{https://zbmath.org/?q=an:1149.57024}
\elib{https://elibrary.ru/item.asp?id=12894792}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 3
\pages 391--457
\crossref{https://doi.org/10.1090/S1061-0022-07-00956-9}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:657
    Full-text PDF :216
    References:63
    First page:9
     
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