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arXiv · 2205.11062

Morse theory of Bestvina-Brady type for posets and matchings

Elias Gabriel Minian
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Abstract

We introduce a Morse theory for posets of Bestvina-Brady type combining matchings and height functions. This theory generalizes Forman's discrete Morse theory for regular CW-complexes and extends previous results on Morse theory for $h$-regular posets to all finite posets. We also develop a relative version of Morse theory which allows us to compare the topology of a poset with that of a given subposet.

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Elias Gabriel Minian. 2022-05-23. Morse theory of Bestvina-Brady type for posets and matchings. https://arxiv.org/abs/2205.11062

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