On tabulating virtual strings
Geometric Topology
2008-08-04 v1
Abstract
A virtual string can be defined as a closed curve on a surface modulo certain equivalence relations. Turaev defined several invariants of virtual strings which we use to produce a table of virtual strings up to 4 crossings. We discuss progress in extending the tabulation to 5 crossings. We also provide a counter-example to a statement of Kadokami.
Cite
@article{arxiv.0808.0064,
title = {On tabulating virtual strings},
author = {Andrew Gibson},
journal= {arXiv preprint arXiv:0808.0064},
year = {2008}
}
Comments
21 pages, 9 figures, submitted to the Proceedings of the International Conference on Quantum Topology, Hanoi, August, 2007