A perturbed Alexander polynomial for singular knots
Geometric Topology
2024-09-27 v1
Abstract
We introduce a version of the Alexander polynomial for singular knots and tangles and show how it can be strengthened considerably by introducing a perturbation. For singular long knots, we also prove that our Alexander polynomial agrees with previous definitions.
Cite
@article{arxiv.2409.17657,
title = {A perturbed Alexander polynomial for singular knots},
author = {Martine Schut and Roland van der Veen},
journal= {arXiv preprint arXiv:2409.17657},
year = {2024}
}
Comments
24 pages, 13 figures, 1 table