Simple loops on 2-bridge spheres in Heckoid orbifolds for the trivial knot
Group Theory
2015-02-17 v1
Abstract
In this paper, we give a necessary and sufficient condition for an essential simple loop on a -bridge sphere in an even Heckoid orbifold for the trivial knot to be null-homotopic, peripheral or torsion in the orbifold. We also give a necessary and sufficient condition for two essential simple loops on a -bridge sphere in an even Heckoid orbifold for the trivial knot to be homotopic in the orbifold.
Keywords
Cite
@article{arxiv.1502.04215,
title = {Simple loops on 2-bridge spheres in Heckoid orbifolds for the trivial knot},
author = {Donghi Lee and Makoto Sakuma},
journal= {arXiv preprint arXiv:1502.04215},
year = {2015}
}
Comments
14 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1402.6870, arXiv:1010.2232, arXiv:1206.0429