Merging boundary critical points of a Morse function
Geometric Topology
2024-10-29 v2
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.
Cite
@article{arxiv.2304.11024,
title = {Merging boundary critical points of a Morse function},
author = {Maciej Borodzik and Marcin Mielniczuk},
journal= {arXiv preprint arXiv:2304.11024},
year = {2024}
}
Comments
14 pages, 4 figures; minor revision, version accepted by Proc. AMS