Geodesic
Compactly supported cohomology of systolic $3$-pseudomanifolds
Roger Gómez-Ortells1
1 Fakultät für Mathematik Universität Wien Oskar-Morgenstern-Platz 1 1090 Wien, Austria
Colloquium Mathematicum, Tome 135 (2014) no. 1, pp. 103-112

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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.
DOI : 10.4064/cm135-1-8
Keywords: second group cohomology compact supports nontrivial three dimensional systolic pseudomanifolds follows groups acting geometrically spaces poincar duality groups

Roger Gómez-Ortells 1

1 Fakultät für Mathematik Universität Wien Oskar-Morgenstern-Platz 1 1090 Wien, Austria 
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Roger Gómez-Ortells. Compactly supported cohomology
 of systolic $3$-pseudomanifolds. Colloquium Mathematicum, Tome 135 (2014) no. 1, pp. 103-112. doi: 10.4064/cm135-1-8

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