Linking between singular locus and regular fibers

Osamu Saeki

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arXiv · 1804.00359

Linking between singular locus and regular fibers

Osamu Saeki

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Abstract

Given a null-cobordant oriented framed link $L$ in a closed oriented $3$--manifold $M$, we determine those links in $M \setminus L$ which can be realized as the singular point set of a generic map $M \to \mathbb{R}^2$ that has $L$ as an oriented framed regular fiber. Then, we study the linking behavior between the singular point set and regular fibers for generic maps of $M$ into $\mathbb{R}^2$.

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BibTeX RIS

Osamu Saeki. 2018-04-02. Linking between singular locus and regular fibers. https://arxiv.org/abs/1804.00359

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