Virtual Knotoids in Thickened Surfaces
Geometric Topology
2026-03-05 v3
Abstract
In this paper, we give a geometric interpretation of virtual knotoids as arcs in thickened surfaces. Then we show that virtual knotoid theory is a generalization of classical knotoid theory. This gives a proof of a conjecture of Kauffman and the first author.
Cite
@article{arxiv.2502.18160,
title = {Virtual Knotoids in Thickened Surfaces},
author = {Neslihan Gügümcü and Hamdi Kayaslan},
journal= {arXiv preprint arXiv:2502.18160},
year = {2026}
}
Comments
25 pages, 26 figures