English

Zariski dense surface subgroups in $SL(n,\mathbb{Q})$ with odd $n$

Geometric Topology 2022-05-18 v1

Abstract

For odd nn we construct a path ρt ⁣:π1(S)SL(n,R)\rho_t\colon \pi_1(S) \to SL(n,\mathbb{R}) of discrete, faithful and Zariski dense representations of a surface group such that ρt(π1(S))SL(n,Q)\rho_t(\pi_1(S)) \subset SL(n,\mathbb{Q}) for every tQt\in \mathbb{Q}.

Cite

@article{arxiv.2205.08040,
  title  = {Zariski dense surface subgroups in $SL(n,\mathbb{Q})$ with odd $n$},
  author = {Carmen Galaz-García},
  journal= {arXiv preprint arXiv:2205.08040},
  year   = {2022}
}
R2 v1 2026-06-24T11:19:19.200Z