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