论文标题

在4个manifolds中平稳打结和拓扑结合的无效表面

Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds

论文作者

Torres, Rafael

论文摘要

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.相应的无限集由拓扑同位素表面组成,这些表面在多种情况下拓扑绑定了手柄体。

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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