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arxiv: 2307.03633 · v1 · pith:RJKD777F · submitted 2023-07-07 · math.AC

The MorseResolutions package for Macaulay2

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classification math.AC
keywords morsepackageresolutionsbarile-macchiamacaulay2monomialmorseresolutionsbatzies
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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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