Gauss diagrams of real and virtual knots in the solid torus
Geometric Topology
2012-01-30 v1
Abstract
We define a new kind of Gauss diagrams to describe knots in the solid torus with projections in the annulus. We see that it provides an efficient tool for showing that a knot diagram can be fully recovered from its decorated Gauss diagram, and we use it to establish a characterization of the decorated Gauss diagrams of closed braids.
Keywords
Cite
@article{arxiv.1201.5859,
title = {Gauss diagrams of real and virtual knots in the solid torus},
author = {Arnaud Mortier},
journal= {arXiv preprint arXiv:1201.5859},
year = {2012}
}
Comments
19 pages, 15 figures