Certifying Anosov representations

Abstract By providing new finite criteria which certify that a finitely generated subgroup of or is projective Anosov, we obtain a practical algorithm to verify the Anosov condition. We demonstrate on a surface group of genus 2 in by verifying the criteria for all words of length 8. The previous version required checking all words of length 2 million.

Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-03-27
DOI
https://doi.org/10.1112/blms.70342
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Certifying Anosov representations

Bulletin of the London Mathematical Society
Geometric and Algebraic Topology
article

Certifying Anosov representations

article en

Abstract

Abstract By providing new finite criteria which certify that a finitely generated subgroup of or is projective Anosov, we obtain a practical algorithm to verify the Anosov condition. We demonstrate on a surface group of genus 2 in by verifying the criteria for all words of length 8. The previous version required checking all words of length 2 million.

Bulletin of the London Mathematical SocietyVol. 58(4)
Reduced inequalities
Openalex Percentile: Top 4%
Geometric and Algebraic Topology
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Certifying Anosov representations · Bulletin of the London Mathematical Society (2026) | TGRS Research Map | TGRS