Virtual links which are equivalent as twisted links
Geometric Topology
2019-09-24 v3
Abstract
A virtual link is a generalization of a classical link that is defined as an equivalence class of certain diagrams, called virtual link diagrams. It is further generalized to a twisted link. Twisted links are in one-to-one correspondence with stable equivalence classes of links in oriented thickenings of (possibly non-orientable) closed surfaces. By definition, equivalent virtual links are also equivalent as twisted links. In this paper, we discuss when two virtual links are equivalent as twisted links, and give a necessary and sufficient condition for this to be the case.
Cite
@article{arxiv.1804.06198,
title = {Virtual links which are equivalent as twisted links},
author = {Naoko Kamada and Seiichi Kamada},
journal= {arXiv preprint arXiv:1804.06198},
year = {2019}
}