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- Title
Special cubulation of strict hyperbolization.
- Authors
Lafont, Jean-François; Ruffoni, Lorenzo
- Abstract
We prove that the Gromov hyperbolic groups obtained by the strict hyperbolization procedure of Charney and Davis are virtually compact special, hence linear and residually finite. Our strategy consists in constructing an action of a hyperbolized group on a certain dual CAT (0) cubical complex. As a result, all the common applications of strict hyperbolization are shown to provide manifolds with virtually compact special fundamental group. In particular, we obtain examples of closed negatively curved Riemannian manifolds whose fundamental groups are linear and virtually algebraically fiber.
- Subjects
DAVIS (Calif.); RIEMANNIAN manifolds; HYPERBOLIC groups; FUNDAMENTAL groups (Mathematics)
- Publication
Inventiones Mathematicae, 2024, Vol 236, Issue 3, p925
- ISSN
0020-9910
- Publication type
Article
- DOI
10.1007/s00222-024-01241-9