Rational approximation for Hitchin representations
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.
Authors
- Jacques Audibert (ORCID: https://orcid.org/0000-0003-2029-7166)
- Michael Zshornack
Institutions
- Northwestern University (US)
- Max Planck Institute for Mathematics (DE)
Publication Details
- Journal
- Groups Geometry and Dynamics
- Published
- 2026-05-12
- DOI
- https://doi.org/10.4171/ggd/969
- Primary Topic
- Geometric and Algebraic Topology
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00