Unlinking singular loci from regular fibers and its application to submersions

研究成果: Contribution to journalArticle査読

抄録

Given a null-cobordant oriented framed link L in a closed oriented 3-manifold M, we study the condition for the existence of a generic smooth map of M to the plane that has L as an oriented framed regular fiber such that the singular point set is unlinked with L. As an application, we give a singularity theoretical proof to the theorem, originally proved by Hector, Peralta-Salas and Miyoshi, about the realization of a link in an open oriented 3-manifold as a regular fiber of a submersion to the plane.

本文言語英語
ページ(範囲)92-103
ページ数12
ジャーナルJournal of Singularities
22
DOI
出版ステータス出版済み - 2020

All Science Journal Classification (ASJC) codes

  • 幾何学とトポロジー
  • 応用数学

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