East Asian mathematical journal

  • 제32권5호
  • /
  • Pages.717-728
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  • 2016
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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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)
  • 투고 : 2016.02.23
  • 심사 : 2016.09.19
  • 발행 : 2016.09.30
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초록

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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참고문헌

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