Plumbing constructions of connected divides and the Milnor fibers of plane curve singularities

研究成果: Article査読

9 被引用数 (Scopus)

抄録

A divide is the image of a generic, relative immersion of a finite number of copies of the unit interval or the unit circle into the unit disk. N. A'Campo defined for each connected divide a link in S3 and proved that the link is fibered. In the present paper we show that the fiber surface of the fibration of a connected divide can be obtained from a disk by a successive plumbing of a finite number of positive Hopf bands. In particular, this gives us a geometric understanding of plumbing constructions of the Milnor fibers of isolated, complex plane curve singularities in terms of certain replacements of the curves of their real modifications.

本文言語English
ページ(範囲)499-514
ページ数16
ジャーナルIndagationes Mathematicae
13
4
DOI
出版ステータスPublished - 2002
外部発表はい

ASJC Scopus subject areas

  • 数学一般

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