Groups, Geometry, and Dynamics
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Published online: 2017-06-26
Cubulation of Gromov–Thurston manifoldsAnne Giralt (1) Institut Mathématique de Jussieu-Paris Rive Gauche, France
In this article we prove that the fundamental group of certain manifolds, introduced by Gromov and Thurston [GT87] and obtained by branched cyclic covering over arithmetic manifolds, acts geometrically on a CAT (0) cube complex. We show in particular that these groups are linear over $\mathbb Z$.
Keywords: Cube complexes, hyperbolic manifolds, Gromov–Thurston manifolds
Giralt Anne: Cubulation of Gromov–Thurston manifolds. Groups Geom. Dyn. 11 (2017), 393-414. doi: 10.4171/GGD/401