Construction of invariants of curves and fronts using word theory

Noboru Ito

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume19
Issue number9
DOIs
Publication statusPublished - 2010 Sep

Fingerprint

Curve
Invariant
Closed curve
Plane Curve

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Construction of invariants of curves and fronts using word theory. / Ito, Noboru.

In: Journal of Knot Theory and its Ramifications, Vol. 19, No. 9, 09.2010, p. 1205-1245.

Research output: Contribution to journalArticle

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