Geometric dimension of lattices in classical simple lie groups
Aramayona, Javier ; Degrijse, Dieter ; Martínez-Pérez, Conchita ; Souto, Juan
Aramayona, Javier
Degrijse, Dieter
Martínez-Pérez, Conchita
Souto, Juan
Repository DOI
Publication Date
2017-06-01
Type
Article
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Citation
Aramayona, Javier; Degrijse, Dieter; Martínez-Pérez, Conchita; Souto, Juan (2017). Geometric dimension of lattices in classical simple lie groups. Journal of Topology 10 (2), 632-667
Abstract
We prove that if inverted right perpendicular is a lattice in a classical simple Lie group G, then the symmetric space of G is G-equivariantly homotopy equivalent to a proper cocompact inverted right perpendicular-CW complex of dimension the virtual cohomological dimension of inverted right perpendicular.
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Publisher
Oxford University Press (OUP)
Publisher DOI
10.1112/topo.12016
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Attribution-NonCommercial-NoDerivs 3.0 Ireland