Surface subgroups for cocompact lattices of isometries of H2n
Abstract We prove the existence of surface subgroups within any cocompact lattice in for . This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Authors
- Zhenghao Rao
- Jeremy Kahn (ORCID: https://orcid.org/0000-0001-6472-2414)
Institutions
- Rutgers, The State University of New Jersey (US)
- Brown University (US)
Publication Details
- Journal
- Journal of Topology
- Published
- 2026-07-16
- DOI
- https://doi.org/10.1112/topo.70089
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00