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arXiv · 2107.05974

Duality in Toric Topology

Jelena Grbić·Matthew Staniforth
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Abstract

We characterise integral Poincaré duality moment-angle complexes $\mathcal{Z}_{\mathcal{K}}$ in combinatorial terms of the Fan-Wang duality of the simplicial complex $\mathcal{K}$, and consequently in algebraic terms of the Gorenstein duality of the Stanley-Reisner ring $\mathbb{Z}[\mathcal{K}]$. We extend Poincaré duality results to certain polyhedral products using polyhedral join products of simplicial complexes.

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Jelena Grbić, Matthew Staniforth. 2022-01-29. Duality in Toric Topology. https://arxiv.org/abs/2107.05974

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