On Crossing Changes for Surface-Knots

Autor: Kharusi, A. Al, Yashiro, T.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv