East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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SIMPLE LOOPS ON 2-BRIDGE SPHERES IN HECKOID ORBIFOLDS FOR THE TRIVIAL KNOT

  • Lee, Donghi (Department of Mathematics, Pusan National University) ;
  • Sakuma, Makoto (Department of Mathematics, Graduate School of Science, Hiroshima University)
  • Received : 2016.02.23
  • Accepted : 2016.09.19
  • Published : 2016.09.30
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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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References

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