Merging boundary critical points of a Morse function

Maciej Borodzik; Marcin Mielniczuk

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arXiv · 2304.11024

Merging boundary critical points of a Morse function

Maciej Borodzik·Marcin Mielniczuk

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Abstract

In 2015, Borodzik, N\'emethi and Ranicki proved that an interior critical point can be pushed to the boundary, where it splits into two boundary critical points. In this paper, we show that two critical points at the boundary can be, under specific assumptions, merged into a single critical point in the interior. That is, we reverse the original construction.

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BibTeX RIS

Maciej Borodzik, Marcin Mielniczuk. 2023-04-21. Merging boundary critical points of a Morse function. https://arxiv.org/abs/2304.11024

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