2022/11/26 by Suzanne Schlich, Schlich, Suzanne · 2 citations
Mathematics · #30L05 (Primary) 20E05 #51F30 (Secondary) #57M60 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2211.14546
openalex publication_date 2022/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the set of Bowditch representations (introduced by Bowditch in 1998, then generalized by Tan, Wong and Zhang in 2008) and the set of primitive-stable representations (introduced by Minsky in 2013) of the free group of rank two in the isometry group of a Gromov-hyperbolic space are equal. The case of PSL(2,ℂ)-representations has already been proved by Lee and Xu and independently Series. Our proof in this context is independent.