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.
|Number of pages||11|
|Journal||Kyungpook Mathematical Journal|
|Publication status||Published - 2016|
- Crossing changes
- Roseman moves
ASJC Scopus subject areas
- Applied Mathematics