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arXiv · 1708.07065

Knot theory of Morse-Bott critical loci

Metin Ozsarfati
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Abstract

We give an alternative proof of that a critical knot of a Morse-Bott function $f: S^3 \rightarrow \mathbb{R}$ is a graph knot where the critical set of $f$ is a link in $S^3$. Our proof inducts on the number of index-1 critical knots of $f$.

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Metin Ozsarfati. 2017-08-23. Knot theory of Morse-Bott critical loci. https://arxiv.org/abs/1708.07065

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