Geodesic
Operations on polyhedral products and a new topological construction of infinite families of toric manifolds
Homology, homotopy, and applications, Tome 17 (2015) no. 2, pp. 137-160.

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

A combinatorial construction is used to analyze the properties of polyhedral products [1] and generalized moment-angle complexes with respect to certain operations on CW pairs including exponentiation. This allows for the construction of infinite families of toric manifolds, associated to a given one, in a way that simplifies the combinatorial input and, consequently, the presentation of the cohomology rings. The new input is the interaction of a purely combinatorial construction with natural associated geometric constructions related to polyhedral products and toric manifolds. Applications of the methods and results developed here have appeared in [24, 25, 15, 18, 10, 23], and [19].
DOI : 10.4310/HHA.2015.v17.n2.a8
Classification : 13F55, 14M25, 52B11, 55N10, 55U10, 14F45, 55T10
Keywords: polyhedral product, moment-angle complex, moment-angle manifold, quasitoric manifold, toric manifold, smooth toric variety, non-singular toric variety, fan, simplicial wedge, join 
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     author = {A. Bahri and M. Bendersky and F. R. Cohen and S. Gitler},
     title = {Operations on polyhedral products and a new topological construction of infinite families of toric manifolds},
     journal = {Homology, homotopy, and applications},
     pages = {137--160},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n2.a8/}
}
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A. Bahri; M. Bendersky; F. R. Cohen; S. Gitler. Operations on polyhedral products and a new topological construction of infinite families of toric manifolds. Homology, homotopy, and applications, Tome 17 (2015) no. 2, pp. 137-160. doi : 10.4310/HHA.2015.v17.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n2.a8/

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