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arXiv · 1504.02607

Geometric dimension of lattices in classical simple Lie groups

Javier Aramayona·Dieter Degrijse·Conchita Martinez-Perez·Juan Souto
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Abstract

We prove that if $\Gamma$ is a lattice in a classical simple Lie group $G$, then the symmetric space of $G$ is $\Gamma$-equivariantly homotopy equivalent to a proper cocompact $\Gamma$-CW complex of dimension the virtual cohomological dimension of $\Gamma$.

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Javier Aramayona, Dieter Degrijse, Conchita Martinez-Perez, Juan Souto. 2015-04-10. Geometric dimension of lattices in classical simple Lie groups. https://arxiv.org/abs/1504.02607

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