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arXiv · 1011.0094

Operations on polyhedral products and a new topological construction of infinite families of toric manifolds

A. Bahri·M. Bendersky·F. R. Cohen·S. Gitler
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Abstract

A combinatorial construction is used to analyze the properties of polyhedral products 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 which 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 literature.

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BibTeXRIS

A. Bahri, M. Bendersky, F. R. Cohen, S. Gitler. 2010-10-30. Operations on polyhedral products and a new topological construction of infinite families of toric manifolds. https://arxiv.org/abs/1011.0094

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