No abstract

No abstract

Golodness of two-dimensional simplicial complexes is studied through polyhedral products, and combinatorial and topological characterizations of Golodness of surface triangulations are given. An answer to the question of Berglund is also given so that there is a two-dimensional simplicial complex which is rationally Golod but not Golod over{\mathbb{Z}/p}.

No abstract

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 JSPS KAKENHI (No. 26400094), and D.K. is supported by JSPS KAKENHI (No. 25400087).