Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds

2020/05/24 by Torres, Rafael · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2005.11696

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.

Cited by

• Simple spheres in simply-connected 4-manifolds

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