Finite-type invariants for curves on surfaces

Noboru Ito

研究成果: Article査読

3 被引用数 (Scopus)

抄録

In this note, we define a notion of finite-type for invariants of curves on surfaces as an analogue of the notion of finite-type for invariants of knots and 3-manifolds (Section 3). We also present a systematic construction for a large family of finite-type invariants SCIn for curves on surfaces (Section 5). Arnold's invariants of plane isotopy classes of plane curves occur as invariants of order 1. Our theory of finite-type invariants of curves on surfaces is developed using the topological theory of words.

本文言語English
ページ(範囲)129-134
ページ数6
ジャーナルProceedings of the Japan Academy Series A: Mathematical Sciences
85
9
DOI
出版ステータスPublished - 2009 11

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「Finite-type invariants for curves on surfaces」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル