A note on longitudes of virtual knots
Geometric Topology
2026-07-29 v1
Abstract
It is a famous property that a longitude of a classical knot lies in the second commutator subgroup of the knot group. We observe that the same property holds for a longitude of a virtual knot.
Cite
@article{arxiv.2607.27425,
title = {A note on longitudes of virtual knots},
author = {Lorenzo Traldi and Daniel S. Silver},
journal= {arXiv preprint arXiv:2607.27425},
year = {2026}
}
Comments
5 pages, 1 figure