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arXiv · 2302.10461

Fundamental group and twisted Alexander polynomial of link complement in 3-torus

Bao Vuong
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Abstract

We consider a diagrammatic approach to investigate tame knots and links in three dimensional torus $T^3$. We obtain a finite set of generalised Reidemeister moves for equivalent links up to ambient isotopy. We give a presentation for fundamental group of link complement in 3-torus $T^3$ and the first homology group. We also compute Alexander polynomial and twisted Alexander polynomials of this class of links.

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Bao Vuong. 2023-02-21. Fundamental group and twisted Alexander polynomial of link complement in 3-torus. https://arxiv.org/abs/2302.10461

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