Rational approximation for Hitchin representations
Abstract
We show that for S a closed surface of genus at least 3 , the set of Hitchin representations of \pi_{1}(S) with image in \operatorname{SL}(n,\mathbf{Q}) is dense in the Hitchin component. When n=2 , we recover a particular case of a result of Takeuchi but using a completely different method.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Groups Geometry and Dynamics
- Publication date
- 12 May 2026
- Language
- EN