VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS

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  • SHIN SATOH
    Department of Mathematics, Osaka City University, Sumiyoshi, Osaka 558-8585, Japan

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<jats:p> Any ribbon torus-knot in 4-space is naturally associated with a virtual knot. We investigate a relationship between ribbon torus-knots and virtual knots from this viewpoint. We also give a new example of a non-classical virtual knots which can not be detected by the group and the Z-polynomial. </jats:p>

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