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http://dx.doi.org/10.5666/KMJ.2016.56.4.1247

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)
Publication Information
Kyungpook Mathematical Journal / v.56, no.4, 2016 , pp. 1247-1257 More about this Journal
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.
Keywords
surface-knot; invariant; crossing changes; Roseman moves;
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