On Crossing Changes for Surface-Knots
Algebraic Topology
2016-04-12 v4 Geometric Topology
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 -exchangeable set.
Keywords
Cite
@article{arxiv.1506.02269,
title = {On Crossing Changes for Surface-Knots},
author = {A. Al Kharusi and T. Yashiro},
journal= {arXiv preprint arXiv:1506.02269},
year = {2016}
}