Non-Trivial Realizations of Virtual Link Diagrams
Geometric Topology
2007-05-23 v1 Algebraic Topology
Abstract
A realization of a virtual link diagram is obtained by choosing over/under markings for each virtual crossing. Any realization can also be obtained from some representation of the virtual link. (A representation of a virtual link is a link diagram on an oriented 2-dimensional surface.) We prove that if a minimal genus representation meets certain criteria then there is a minimal genus representation resulting in a knotted realization.
Cite
@article{arxiv.math/0502477,
title = {Non-Trivial Realizations of Virtual Link Diagrams},
author = {H. A. Dye},
journal= {arXiv preprint arXiv:math/0502477},
year = {2007}
}
Comments
21 pages, 29 figures