论文标题

封闭的4个manifolds中异国情调的2链接的配方,其组成部分是拓扑结构的

A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots

论文作者

Bais, Valentina, Benyahia, Younes, Malech, Oliviero, Torres, Rafael

论文摘要

我们描述了一个无限集合的构建程序,该程序是$ 2 $ links in闭合的简单连接的4个manifolds,这些4个manifolds是拓扑同位素,平稳的,不等式的,并且在拓扑拓扑上没有结节。这些2链接是文献中这种类型的第一个例子。所提供的示例具有表面和自由组作为其2链接组。我们还指出了这样一个家庭的异国情调的布鲁尼亚行为,该行为突出了联系在创造异国现象中的重要作用。

We describe a construction procedure of infinite sets of $2$-links in closed simply connected 4-manifolds that are topologically isotopic, smoothly inequivalent and componentwise topologically unknotted. These 2-links are the first examples of such kind in the literature. The examples provided have surface and free groups as their 2-link groups. We also point out an exotic Brunnian behaviour of such families, which highlights the important role of linking in creating exotic phenomena.

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