On ribbon graphs and virtual links
Geometric Topology
2022-02-01 v2 Combinatorics
Abstract
We introduce a new equivalence relation on decorated ribbon graphs, and show that its equivalence classes directly correspond to virtual links. We demonstrate how this correspondence can be used to convert any invariant of virtual links into an invariant of ribbon graphs, and vice versa.
Keywords
Cite
@article{arxiv.2010.04238,
title = {On ribbon graphs and virtual links},
author = {Scott Baldridge and Louis H. Kauffman and William Rushworth},
journal= {arXiv preprint arXiv:2010.04238},
year = {2022}
}
Comments
35 pages, many figures. Comments welcome. This version to appear in the European Journal of Combinatorics