Profinite rigidity and hyperbolic four-punctured sphere bundles over the circle

Tamunonye Cheetham-West

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arXiv · 2308.00266

Profinite rigidity and hyperbolic four-punctured sphere bundles over the circle

Tamunonye Cheetham-West

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Abstract

We show that hyperbolic four-punctured $S^2-$bundles over $S^1$ are distinguished by the finite quotients of their fundamental groups among all 3-manifold groups. To do this, we upgrade a result of Liu to show that the topological type of a fiber is detected by the profinite completion of the fundamental group of a fibered hyperbolic 3-manifold.

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BibTeX RIS

Tamunonye Cheetham-West. 2023-08-01. Profinite rigidity and hyperbolic four-punctured sphere bundles over the circle. https://arxiv.org/abs/2308.00266

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