Relative cubulation of relative strict hyperbolization

Autor:	Groves, Daniel, Lafont, Jean-François, Manning, Jason Fox, Ruffoni, Lorenzo
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Differential Geometry Mathematics - Geometric Topology 20F67 53C23 20E26 57Q15
Druh dokumentu:	Working Paper
Popis:	We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0) cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special. We include some applications to the theory of manifolds, such as the construction of new non-positively curved Riemannian manifolds with residually finite fundamental group, and the existence of non-triangulable aspherical manifolds with virtually special fundamental group. Comment: 27 pages, 3 figures. Main document by J.-F. Lafont and L. Ruffoni, appendix by D. Groves and J. F. Manning. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.14946 Zobrazit plný text záznamu View this record from Arxiv