Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Crossing Changes for Surface-Knots

  • Al Kharusi, Amal (Department of Mathematics and Statistics, College of Science, Sultan Qaboos University) ;
  • Yashiro, Tsukasa (Department of Mathematics and Statistics, College of Science, Sultan Qaboos University)
  • Received : 2016.05.01
  • Accepted : 2016.10.21
  • Published : 2016.12.23
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Abstract

In this paper, we discuss the crossing change operation along exchangeable double curves of a surface-knot diagram. We show that under certain condition, a finite sequence of Roseman moves preserves the property of those exchangeable double curves. As an application for this result, we also define a numerical invariant for a set of surface-knots called du-exchangeable set.

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References

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