Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes.
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Stefan Papadima, Barbu Berceanu (1994)
Mathematische Annalen
Roger Gómez-Ortells (2014)
Colloquium Mathematicae
We show that the second group of cohomology with compact supports is nontrivial for three-dimensional systolic pseudomanifolds. It follows that groups acting geometrically on such spaces are not Poincaré duality groups.
S. Singh (1981)
Fundamenta Mathematicae
F. Quinn (1986)
Inventiones mathematicae
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