The MorseResolutions package for Macaulay2

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 contai...

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Bibliographic Details
Published in:arXiv.org 2023-07
Main Authors: Chau, Trung, Selvi, Kara, O'Keefe, Augustine
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422