On the Cohomology of a Hyperfine Action.
K. Schmidt, K.R. Parthasarathy (1977)
Monatshefte für Mathematik
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K. Schmidt, K.R. Parthasarathy (1977)
Monatshefte für Mathematik
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Ellis, Graham, Kholodna, Irina (1999)
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Roger Gómez-Ortells (2014)
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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.
Soogil Seo (2005)
Acta Arithmetica
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Stefan Kühnlein (2003)
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Claus Scheiderer (1996)
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Stefan Kühnlein (2003)
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Pierre Berthelot (2012)
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M. Coltoiu (1987)
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Filippo Callegaro (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural and useful method to study recursively the cohomology of Artin groups, simplifying many computations. In the last section some examples of applications are presented.
Alejandro Adem, John Maginnis (1990)
Mathematische Annalen
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John W. Rutter (1976)
Colloquium Mathematicae
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Kelley, J. L.
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Viorel Vajaitu (1993)
Journal für die reine und angewandte Mathematik
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