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

Let I be a square-free monomial ideal of projective dimension one. Starting with the Taylor complex on the generators of I r , we use discrete Morse theory to describe a CW complex that supports a minimal free resolution of I r . To do so, we concretely describe the acyclic matching on the faces of the Taylor complex. [ABSTRACT FROM AUTHOR]