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arXiv · 1502.04215

Simple loops on 2-bridge spheres in Heckoid orbifolds for the trivial knot

Donghi Lee·Makoto Sakuma
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Abstract

In this paper, we give a necessary and sufficient condition for an essential simple loop on a $2$-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 $2$-bridge sphere in an even Heckoid orbifold for the trivial knot to be homotopic in the orbifold.

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Donghi Lee, Makoto Sakuma. 2015-02-14. Simple loops on 2-bridge spheres in Heckoid orbifolds for the trivial knot. https://arxiv.org/abs/1502.04215

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