An explicit canonical cycle is constructed in the top homology of the Voronoi complex for SL_n(Z) that generates the rational cohomology at the virtual cohomological dimension.
Énumération complète des classes de formes parfaites en dimen- sion 7.Annales de l’Institut Fourier, 43(1):21–55
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Explicit canonical cycle at the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb{Z})$ through Voronoi complex
An explicit canonical cycle is constructed in the top homology of the Voronoi complex for SL_n(Z) that generates the rational cohomology at the virtual cohomological dimension.