[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2016.050

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)

Publication Information

East Asian mathematical journal / v.32, no.5, 2016 , pp. 717-728 More about this Journal

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.

Keywords

2-bridge link group; even Heckoid group; Hecke group; van Kampen diagram; annular diagram;

Citations & Related Records

Reference

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