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math.GT2026
Genericity of hyperbolic 3-manifolds via Dehn surgery
Renxing Wan, Yanqing Zou
A significant result by Lickorish and Wallace shows that every closed, orientable 3-manifold can be obtained from a Dehn surgery on one link in 3-sphere. As links and Dehn surgerie…
math.GR2026
Tits Alternative in groups with proper product actions on proper Gromov-hyperbolic spaces
Jiaqi Cui, Renxing Wan
In this paper, we study groups with property (PPH), i.e., there exist finitely many proper Gromov-hyperbolic spaces on which acts cocompactly such that the di…