English

The MorseResolutions package for Macaulay2

Commutative Algebra 2023-07-10 v1

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.

Keywords

Cite

@article{arxiv.2307.03633,
  title  = {The MorseResolutions package for Macaulay2},
  author = {Trung Chau and Selvi Kara and Augustine O'Keefe},
  journal= {arXiv preprint arXiv:2307.03633},
  year   = {2023}
}

Comments

9 pages

R2 v1 2026-06-28T11:24:37.148Z