Strongly dense representations of hyperbolic 3-manifold groups
Abstract
We provide the first examples of strongly dense representations of a hyperbolic 3-manifold group into S L ( 4 , R ) SL(4,\mathbb {R}) and S U ( 3 , 1 ) SU(3,1) i.e. representations where every pair of non-commuting elements has Zariski dense image. Our examples are holonomy representations arising from projective deformations of its hyperbolic structure. As a corollary, we get that S L ( 4 , R ) SL(4,\mathbb {R}) has non-Hitchin strongly dense surface subgroups.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Algebra and Geometry
Advanced Differential Geometry Research
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 3
- Pages
- 1311–1323
- Publication date
- 16 January 2026
- Language
- EN