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This article is cited in 32 scientific papers (total in 32 papers)
Expository Surveys
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
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
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
Linking options:
https://www.mathnet.ru/eng/aa74 https://www.mathnet.ru/eng/aa/v18/i3/p63
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Abstract page: | 657 | Full-text PDF : | 216 | References: | 63 | First page: | 9 |
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