Duality in Toric Topology
Abstract
We characterise integral Poincar\'e duality moment-angle complexes ZK in combinatorial terms of the Fan-Wang duality of the simplicial complex K, and consequently in algebraic terms of the Gorenstein duality of the Stanley-Reisner ring Z[K]. We extend Poincar\'e duality results to certain polyhedral products using polyhedral join products of simplicial complexes.
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