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Exotically knotted 2-spheres and the fundamental groups of their complements (2406.07093v1)

Published 11 Jun 2024 in math.GT

Abstract: We show that for any finitely presented group $G$, 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 $G$. We also show that, if $G$ satisfies the necessary topological conditions, these 2-links have nullhomotopic components.

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