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arXiv · 1506.02269

On Crossing Changes for Surface-Knots

A. Al Kharusi·T. Yashiro
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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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A. Al Kharusi, T. Yashiro. 2015-06-07. On Crossing Changes for Surface-Knots. https://arxiv.org/abs/1506.02269

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