Construction of invariants of curves and fronts using word theory

Noboru Ito

doi:10.1142/S0218216510008406

Construction of invariants of curves and fronts using word theory

Noboru Ito^*

^*Corresponding author for this work

Waseda Institute for Advanced Study

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	1205-1245
Number of pages	41
Journal	Journal of Knot Theory and its Ramifications
Volume	19
Issue number	9
DOIs	https://doi.org/10.1142/S0218216510008406
Publication status	Published - 2010 Sept

Keywords

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

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216510008406

Cite this

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Construction of invariants of curves and fronts using word theory

Abstract

Keywords

ASJC Scopus subject areas

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