Abstract
In this survey we summarize results regarding the Kauffman bracket, HOMFLYPT, Kauffman 2-variable and Dubrovnik skein modules, and the Alexander polynomial of links in lens spaces, which we represent by mixed link diagrams. These invariants generalize the corresponding knot polynomials in the classical case. We compare the invariants by means of the ability to distinguish between some difficult cases of knots with certain symmetries.
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Acknowledgements
The first author was supported by the Slovenian Research Agency grants J1-8131, J1-7025, and N1-0064. The second author was supported by the Slovenian Research Agency grant N1-0083.
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Gabrovšek, B., Horvat, E. (2019). Knot Invariants in Lens Spaces. In: Adams, C., et al. Knots, Low-Dimensional Topology and Applications. KNOTS16 2016. Springer Proceedings in Mathematics & Statistics, vol 284. Springer, Cham. https://doi.org/10.1007/978-3-030-16031-9_17
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