Geodesic
Cubulation of Gromov–Thurston manifolds
Anne Giralt1
1Institut Mathématique de Jussieu-Paris Rive Gauche, France
Groups, geometry, and dynamics, Tome 11 (2017) no. 2, pp. 393-414

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DOI

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 Z.
DOI : 10.4171/ggd/401
Classification : 57-XX, 11-XX, 53-XX
Mots-clés : Cube complexes, hyperbolic manifolds, Gromov–Thurston manifolds

Anne Giralt  1

1 Institut Mathématique de Jussieu-Paris Rive Gauche, France 
Anne Giralt. Cubulation of Gromov–Thurston manifolds. Groups, geometry, and dynamics, Tome 11 (2017) no. 2, pp. 393-414. doi: 10.4171/ggd/401
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     title = {Cubulation of {Gromov{\textendash}Thurston} manifolds},
     journal = {Groups, geometry, and dynamics},
     pages = {393--414},
     year = {2017},
     volume = {11},
     number = {2},
     doi = {10.4171/ggd/401},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/401/}
}
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