Construction of invariants of curves and fronts using word theory

Noboru Ito*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We construct an infinite sequence of invariants for surface curves by using the word theory introduced by Turaev. We modify these invariants to various classes of curves: plane closed curves, long curves and fronts. For a plane closed curve, for example, these modified invariants contain Arnold's basic invariants. We also discuss how curves are classified by these modified invariants.

Original languageEnglish
Pages (from-to)1205-1245
Number of pages41
JournalJournal of Knot Theory and its Ramifications
Issue number9
Publication statusPublished - 2010 Sept


  • Arnold's basic invariants
  • front
  • plane curve
  • Turaev's word theory

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Construction of invariants of curves and fronts using word theory'. Together they form a unique fingerprint.

Cite this