Topological and geometric restrictions on hyperconvex representations
We study the geometry of hyperconvex representations of hyperbolic groups in PSL (d, C) and establish two structural results: a group admitting a hyperconvex representation is virtually isomorphic to a Kleinian group, and its hyperconvex limit set in the appropriate flag manifold has Hausdorff dimension strictly smaller than 2.
Authors
- Gabriele Viaggi (ORCID: https://orcid.org/0009-0000-3351-2326)
- James Farre
- Beatrice Pozzetti
Institutions
- Max Planck Institute for Mathematics in the Sciences (DE)
- Max Planck Institute for Mathematics (DE)
- Sapienza University of Rome (IT)
- University of Bologna (IT)
Publication Details
- Journal
- IRIS Research product catalog (Sapienza University of Rome)
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1515/crelle-2025-0047
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft