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Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds (2005.11696v3)

Published 24 May 2020 in math.GT

Abstract: We point out that recent constructions of inequivalent smooth structures yield a manufacturing procedure of infinite sets of pairwise smoothly non-isotopic nullhomologous 2-tori and spheres inside a myriad of 4-manifolds. The corresponding infinite set consists of topologically isotopic surfaces that topologically bound a handlebody in several instances.

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