Filamentations for Virtual Links
Geometric Topology
2007-05-23 v2 Combinatorics
Abstract
In 2002, D. Hrencecin and L.H. Kauffman defined a filamentation invariant on oriented chord diagrams that may determine whether the corresponding flat virtual knot diagrams are non-trivial. A virtual knot diagram is non-classical if its related flat virtual knot diagram is non-trivial. Hence filamentations can be used to detect non-classical virtual knots. We extend these filamentation techniques to virtual links with more than one component. We also give examples of virtual links that they can detect as non-classical.
Keywords
Cite
@article{arxiv.math/0402162,
title = {Filamentations for Virtual Links},
author = {William J. Schellhorn},
journal= {arXiv preprint arXiv:math/0402162},
year = {2007}
}
Comments
Withdrawn due to publication