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arXiv · 2510.16941

Turaev--Viro invariants and profinite completions of surface bundles

Qirong Yang
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Abstract

We prove that the Turaev--Viro invariants of the two surface bundles over the circle coincide for every spherical fusion category if the surface group is procongruently conjugacy separable and there exists a regular profinite isomorphism between the fundamental groups.

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Qirong Yang. 2025-10-19. Turaev--Viro invariants and profinite completions of surface bundles. https://arxiv.org/abs/2510.16941

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