1. Certifying Anosov representations
- Author
-
Riestenberg, J. Maxwell
- Subjects
Mathematics - Group Theory ,Mathematics - Geometric Topology ,53C35, 20F65, 22E40 - Abstract
By providing new finite criteria which certify that a finitely generated subgroup of $\mathrm{SL}(d,\mathbb{R})$ or $\mathrm{SL}(d,\mathbb{C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition. We demonstrate on a surface group of genus 2 in $\mathrm{SL}(3,\mathbb{R})$ by verifying the criteria for all words of length 8. The previous version required checking all words of length $2$ million., Comment: 12 pages. Comments welcome!
- Published
- 2024