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arXiv · 2307.03633

The MorseResolutions package for Macaulay2

Trung Chau·Selvi Kara·Augustine O'Keefe
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Abstract

Using discrete Morse theory, Batzies and Welker introduced Morse resolutions of monomial ideals. In this note, we present the {\it Macaulay2} package {\tt MorseResolutions} for working with two important classes of Morse resolutions: Lyubeznik and Barile-Macchia resolutions. This package also contains procedures to search for a minimal Barile-Macchia resolution of a given monomial ideal.

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Trung Chau, Selvi Kara, Augustine O'Keefe. 2023-07-07. The MorseResolutions package for Macaulay2. https://arxiv.org/abs/2307.03633

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