Morse resolutions of powers of square-free monomial ideals of projective dimension one
Commutative Algebra
2021-11-03 v3 Combinatorics
Abstract
Let be a square-free monomial ideal of projective dimension one. Starting with the Taylor complex on the generators of , we use Discrete Morse theory to describe a CW complex that supports a minimal free resolution of . To do so, we concretely describe the acyclic matching on the faces of the Taylor complex.
Keywords
Cite
@article{arxiv.2103.07959,
title = {Morse resolutions of powers of square-free monomial ideals of projective dimension one},
author = {Susan Cooper and Sabine El Khoury and Sara Faridi and Sarah Mayes-Tang and Susan Morey and Liana M. Sega and Sandra Spiroff},
journal= {arXiv preprint arXiv:2103.07959},
year = {2021}
}
Comments
To appear in Journal of Algebraic Combinatorics