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The MorseResolutions package for Macaulay2

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

The MorseResolutions package for Macaulay2

Trung Chau , Selvi Kara , Augustine O'Keefe This is my paper
classification math.AC
keywords morsepackageresolutionsbarile-macchiamacaulay2monomialmorseresolutionsbatzies
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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