Gauss paragraphs of classical links and a characterization of virtual link groups
Geometric Topology
2007-05-23 v2 Group Theory
Abstract
A classical link in 3-space can be represented by a Gauss paragraph encoding a link diagram in a combinatorial way. A Gauss paragraph may code not a classical link diagram, but a diagram with virtual crossings. We present a criterion and a linear algorithm detecting whether a Gauss paragraph encodes a classical link. We describe Wirtinger presentations realizable by virtual link groups.
Keywords
Cite
@article{arxiv.math/0610929,
title = {Gauss paragraphs of classical links and a characterization of virtual link groups},
author = {V. Kurlin},
journal= {arXiv preprint arXiv:math/0610929},
year = {2007}
}
Comments
12 pages, 12 figures, v2: new results have been added