A-infinity resolutions and the Golod property for monomial rings
arXiv:1612.02737 · doi:10.2140/agt.2018.18.3403
Abstract
Let R=S/I be a monomial ring whose minimal free resolution F is rooted. We describe an A-infinity algebra structure on F. Using this structure, we show that R is Golod if and only if the product on Tor^S(R,k) vanishes. Furthermore, we give a necessary and sufficient combinatorial condition for R to be Golod.
Several improvements have been made from the previous version; some examples and details added; to appear in Algebraic & Geometric Topology