Morse resolutions of powers of square-free monomial ideals of projective dimension one

Abstract

Let I be a square-free monomial ideal of projective dimension one. Starting with the Taylor complex on the generators of Ir, we use discrete Morse theory to describe a CW complex that supports a minimal free resolution of Ir. To do so, we concretely describe the acyclic matching on the faces of the Taylor complex. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.