Fundamental group and twisted Alexander polynomial of link complement in 3-torus
Algebraic Topology
2023-07-11 v3 Geometric Topology
Abstract
We consider a diagrammatic approach to investigate tame knots and links in three dimensional torus . 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 and the first homology group. We also compute Alexander polynomial and twisted Alexander polynomials of this class of links.
Cite
@article{arxiv.2302.10461,
title = {Fundamental group and twisted Alexander polynomial of link complement in 3-torus},
author = {Bao Vuong},
journal= {arXiv preprint arXiv:2302.10461},
year = {2023}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:1209.6532, arXiv:1606.03224 by other authors