Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions
Kouyemon Iriye, Daisuke Kishimoto · Homology Homotopy and Applications · 2017
Let K be a simplicial complex such that the Taylor resolution for its Stanley-Reisner ring is minimal.We prove that the following conditions are equivalent: (1) K is Golod; (2) any two minimal non-faces of K are not disjoint; (3) the moment-angle complex for K is homotopy equivalent to a wedge of spheres; (4) the decomposition of the suspension of the polyhedral product Z K (CX, X) due to Bahri, Bendersky, Cohen and Gitler desuspends. K.I. is supported by