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We compare the sheaf-theoretic and singular chain versions of Poincareduality for intersection homology, showing that they are isomorphic vianaturally defined maps. Similarly, we demonstrate the existence of canonicalisomorphisms between the singular intersection cohomology cup product, thehypercohomology product induced by the Goresky-MacPherson sheaf pairing, and,for PL pseudomanifolds, the Goresky-MacPherson PL intersection product. We alsoshow that the de Rham isomorphism of Brasselet, Hector, and Saralegi preservesproduct structures.

Intersection homology duality and pairings: singular, PL, and sheaf-theoretic