On crossing changes for surface-knots

Amal Al Kharusi*, Tsukasa Yashiro

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1247-1257
Number of pages11
JournalKyungpook Mathematical Journal
Issue number4
Publication statusPublished - 2016


  • Crossing changes
  • Invariant
  • Roseman moves
  • Surface-knot

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


Dive into the research topics of 'On crossing changes for surface-knots'. Together they form a unique fingerprint.

Cite this