A-infinity resolutions and the Golod property for monomial rings
  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. 
Robin Frankhuizen
math.AT math.AC