Abstract
In this paper we show that the Boltzmann weights of the three-dimensional Baxter-Bazhanov model give representations of the braid group if some suitable spectral limits are taken. In the trigonometric case we classify all possible spectral limits which produce braid group representations. Furthermore, we prove that for some of them we get cyclotomic invariants of links and for others we obtain tangle invariants generalizing the cyclotomic ones.
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Cerchiai, B.L., Martellini, M. & Valz-Gris, F. Three-dimensional integrable models and associated tangle invariants. J Stat Phys 78, 1083–1109 (1995). https://doi.org/10.1007/BF02183703
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DOI: https://doi.org/10.1007/BF02183703