Pseudo-cycles of surface-knots

Tsukasa Yashiro*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we describe a two-dimensional rectangular-cell-complex derived from a surface-knot diagram of a surface-knot. We define a pseudo-cycle for a quandle colored surface-knot diagram. We show that the maximal number of pseudo-cycles is a surface-knot invariant.

Original languageEnglish
Article number1650068
JournalJournal of Knot Theory and its Ramifications
Issue number13
Publication statusPublished - Nov 1 2016


  • Surface-knot
  • diagrams
  • invariant
  • pseudo-cycle

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this