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arXiv · 1703.03701

Profinite detection of 3-manifold decompositions

Henry Wilton·Pavel Zalesskii
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Abstract

The profinite completion of the fundamental group of a closed, orientable $3$-manifold determines the Kneser--Milnor decomposition. If $M$ is irreducible, then the profinite completion determines the Jaco--Shalen--Johannson decomposition of $M$.

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Henry Wilton, Pavel Zalesskii. 2017-03-10. Profinite detection of 3-manifold decompositions. https://doi.org/10.1112/s0010437x1800787x

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