Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds

Rafael Torres

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arXiv · 2005.11696

Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds

Rafael Torres

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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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Rafael Torres. 2020-05-24. Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds. https://arxiv.org/abs/2005.11696

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