TY - JOUR
T1 - Golodness and polyhedral products of simplicial complexes with minimal taylor resolutions
AU - Iriye, Kouyemon
AU - Kishimoto, Daisuke
N1 - Publisher Copyright:
© 2018, International Press.
PY - 2018
Y1 - 2018
N2 - 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 ZK(CX;X) due to Bahri, Bendersky, Cohen and Gitler desuspends.
AB - 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 ZK(CX;X) due to Bahri, Bendersky, Cohen and Gitler desuspends.
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U2 - 10.4310/HHA.2018.v20.n1.a5
DO - 10.4310/HHA.2018.v20.n1.a5
M3 - Article
AN - SCOPUS:85042562663
VL - 20
SP - 69
EP - 78
JO - Homology, Homotopy and Applications
JF - Homology, Homotopy and Applications
SN - 1532-0073
IS - 1
ER -