Knot invariants in lens spaces

Boštjan Gabrovšek; Eva Horvat

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arXiv · 1808.05241

Knot invariants in lens spaces

Boštjan Gabrovšek·Eva Horvat

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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 as 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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Boštjan Gabrovšek, Eva Horvat. 2018-08-15. Knot invariants in lens spaces. https://arxiv.org/abs/1808.05241

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