Geodesic
Duality in the homology of 5-manifolds
Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 171-179.

Voir la notice de l'article provenant de la source International Press of Boston

We show that the homological properties of a 5-manifold $M$ with fundamental group $G$ are encapsulated in a $G$-invariant stable form on the dual of the third syzygy of $\mathbb{Z}$. In this notation one may express an even stronger version of Poincaré duality for $M$. However, we find an obstruction to this duality.
DOI : 10.4310/HHA.2017.v19.n1.a9
Classification : 55N45, 55N91, 55U15, 57M60, 57P10
Keywords: manifold, Poincaré duality, chain complex 
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W.H. Mannan. Duality in the homology of 5-manifolds. Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 171-179. doi : 10.4310/HHA.2017.v19.n1.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a9/

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