Voronoi complexes in higher dimensions, cohomology of $G{L}_N(Z)$ for $N\ge 8$ and the triviality of $K_8(Z)$

Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers +1

We enumerate the low dimensional cells in the Voronoi cell complexes attached to the modular groups $S{L}_N(Z)$ and $G{L}_N(Z)$ for $N=8,9,10,11$, using quotient sublattices techniques…