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Exotically knotted 2-spheres and the fundamental groups of their complements

Year: 2026
Type: article
Abstract: We show that for any finitely presented group G G , there is a simply connected closed 4-manifold containing an infinite family of topologically isotopic but smoothly inequivalent 2-links whose 2-link group is G G . We also show that, if G G satisfies the necessary topological conditions, these 2-links have nullhomotopic components.
Language: English
Open Access status: green
OpenAlex ID: W7124243310
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Cites: 24
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