Certifying Anosov representations

J. Maxwell Riestenberg

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arXiv · 2409.08015

Certifying Anosov representations

J. Maxwell Riestenberg

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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.

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J. Maxwell Riestenberg. 2024-09-12. Certifying Anosov representations. https://arxiv.org/abs/2409.08015

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