Duality in Toric Topology

2021/07/13 by Grbić, Jelena, Staniforth, Matthew
#05E45 (Secondary) #13F55 #16E65 (Primary) 57Q10 #57P10 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2107.05974

Abstract

We characterise integral Poincaré duality moment-angle complexes Z_K 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 Poincaré duality results to certain polyhedral products using polyhedral join products of simplicial complexes.

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