Geodesic
Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions
Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 69-78.

Voir la notice de l'article provenant de la source International Press of Boston

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 $\mathcal{Z}_K (C \underline{X}, \underline{X})$ due to Bahri, Bendersky, Cohen and Gitler desuspends.
DOI : 10.4310/HHA.2018.v20.n1.a5
Classification : 13F55, 55P15
Keywords: Stanley–Reisner ring, Golod property, Taylor resolution, polyhedral product, fat wedge filtration 
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     author = {Kouyemon Iriye and Daisuke Kishimoto},
     title = {Golodness and polyhedral products of simplicial complexes with minimal {Taylor} resolutions},
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     pages = {69--78},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n1.a5/}
}
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Kouyemon Iriye; Daisuke Kishimoto. Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions. Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 69-78. doi : 10.4310/HHA.2018.v20.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n1.a5/

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