Compactly supported cohomology of systolic 3-pseudomanifolds
Colloquium Mathematicae (2014)
- Volume: 135, Issue: 1, page 103-112
- ISSN: 0010-1354
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Abstract
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topRoger Gómez-Ortells. "Compactly supported cohomology of systolic 3-pseudomanifolds." Colloquium Mathematicae 135.1 (2014): 103-112. <http://eudml.org/doc/284159>.
@article{RogerGómez2014,
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.},
author = {Roger Gómez-Ortells},
journal = {Colloquium Mathematicae},
keywords = {systolic complexes; systolic groups; systolic pseudomanifolds; cohomology with compact support; Poincaré duality groups},
language = {eng},
number = {1},
pages = {103-112},
title = {Compactly supported cohomology of systolic 3-pseudomanifolds},
url = {http://eudml.org/doc/284159},
volume = {135},
year = {2014},
}
TY - JOUR
AU - Roger Gómez-Ortells
TI - Compactly supported cohomology of systolic 3-pseudomanifolds
JO - Colloquium Mathematicae
PY - 2014
VL - 135
IS - 1
SP - 103
EP - 112
AB - 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.
LA - eng
KW - systolic complexes; systolic groups; systolic pseudomanifolds; cohomology with compact support; Poincaré duality groups
UR - http://eudml.org/doc/284159
ER -
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