Xiaoyu Xu

collaborators

3 papers

math.GT2026

Profinite rigidity for two-bridge links and 3-tangle Montesinos links

Tamunonye Cheetham-West, Xiaoyu Xu

For any two-bridge link or 3-tangle Montesinos link $L \subset S^{3}$ (including knot), this paper proves that $π_{1} (S^{3} - L)$ is profinitely rigid among the fundamental groups of compac…

math.GT2024

Profinite rigidity witnessed by Dehn fillings of cusped hyperbolic 3-manifolds

Xiaoyu Xu

Any profinite isomorphism between two cusped finite-volume hyperbolic 3-manifolds carries profinite isomorphisms between their Dehn fillings. With this observation, we prove that s…

math.GT2024

Profinite almost rigidity in 3-manifolds

Xiaoyu Xu

We prove that any compact, orientable 3-manifold with empty or toral boundary is profinitely almost rigid among all compact, orientable 3-manifolds. In other words, the profinite c…