Cubulation of Gromov-Thurston manifolds
\textit{M. Gromov} and \textit{W. P. Thurston}, in their paper [Invent. Math. 89, 1--12 (1987; Zbl 0646.53037)], constructed an infinite family of Riemannian manifolds equipped with metrics of sectional curvature \(\leq -1\) and arbitrary close to 1, but which do not admit metrics of constant curvature. These manifolds are obtained as branched cyclic coverings over arithmetic manifolds. In the paper under review, the author proves that the fundamental groups of the Gromov-Thurston manifolds act geometrically on CAT(0) cube complexes. She also shows that these groups are linear over \(\mathbb{Z}\).
scientific article; zbMATH DE number 6759106