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首页|On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial

On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial

On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial

来源:Arxiv_logoArxiv
英文摘要

We prove that any isomorphism between the profinite completions of the fundamental groups of two cusped finite-volume hyperbolic 3-manifolds is regular and peripheral regular. As an application, we show that the $A$-polynomial of prime knots in $S^3$ is a profinite invariant, up to possible mirror image.

Xiaoyu Xu

数学

Xiaoyu Xu.On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial[EB/OL].(2025-06-26)[2025-07-23].https://arxiv.org/abs/2506.21105.点此复制

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