Geodesic
Two-dimensional Golod complexes
Homology, homotopy, and applications, Tome 23 (2021) no. 2, pp. 215-226.

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

We characterize two-dimensional Golod complexes combinatorially by vertex-breakability and topologically by the fatwedge filtration of a polyhedral product. Applying the characterization, we consider a difference between Golodness over fields and rings, which enables us to give a two-dimensional simple Golod complex over any field such that the corresponding moment-angle complex is not a suspension.
DOI : 10.4310/HHA.2021.v23.n2.a12
Classification : 13F55, 55P15
Keywords: Stanley–Reisner ring, Golod property, neighborly complex, polyhedral product, fat-wedge filtration 
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Kouyemon Iriye; Daisuke Kishimoto. Two-dimensional Golod complexes. Homology, homotopy, and applications, Tome 23 (2021) no. 2, pp. 215-226. doi : 10.4310/HHA.2021.v23.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2021.v23.n2.a12/

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