Compactly supported cohomology of systolic $3$-pseudomanifolds
Colloquium Mathematicum 135 (2014), 103-112 MSC: Primary 20F65; Secondary 20F67, 20J06, 57P10. DOI: 10.4064/cm135-1-8
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.