Compactly supported cohomology of systolic 3-pseudomanifolds
Roger Gómez-Ortells
Colloquium Mathematicae, Tome 135 (2014), p. 103-112 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:284159 
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     author = {Roger G\'omez-Ortells},
     title = {Compactly supported cohomology of systolic 3-pseudomanifolds},
     journal = {Colloquium Mathematicae},
     volume = {135},
     year = {2014},
     pages = {103-112},
     zbl = {1335.20041},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-8}
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Roger Gómez-Ortells. Compactly supported cohomology of systolic 3-pseudomanifolds. Colloquium Mathematicae, Tome 135 (2014) pp. 103-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-8/