We can construct a [Formula: see text]-manifold by attaching [Formula: see text]-handles to a [Formula: see text]-ball with framing [Formula: see text] along the components of a link in the boundary of the [Formula: see text]-ball. We define a link as [Formula: see text]-shake slice if there exists embedded spheres that represent the generators of the second homology of the [Formula: see text]-manifold. This naturally extends [Formula: see text]-shake slice, a generalization of slice that has previously only been studied for knots, to links of more than one component. We also define a relative notion of shake[Formula: see text]-concordance for links and versions with stricter conditions on the embedded spheres that we call strongly[Formula: see text]-shake slice and strongly[Formula: see text]-shake concordance. We provide infinite families of links that distinguish concordance, shake concordance, and strong shake concordance. Moreover, for [Formula: see text] we completely characterize shake slice and shake concordant links in terms of concordance and string link infection. This characterization allows us to prove that the first non-vanishing Milnor [Formula: see text] invariants are invariants of shake concordance. We also argue that shake concordance does not imply link homotopy.

中文翻译：

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摇切片和摇一致的链接

我们可以通过将 [Formula: see text]-handles 附加到 [Formula: see text]-ball 上来构造 [Formula: see text]-manifold，并沿边界中的链接组件添加框架 [Formula: see text] [公式：见正文]-球。如果存在表示 [Formula: see text]-manifold 的第二个同源生成器的嵌入球体，我们将链接定义为 [Formula: see text]-shake slice。这很自然地将 [公式：参见文本]-shake slice（以前仅针对节点研究过的 slice 的泛化）扩展到了多个组件的链接。我们还定义了一个相对的shake[Formula: see text]-concordance，用于在嵌入球体上具有更严格条件的链接和版本，我们称之为strongly[Formula: see text]-shake slice 和strongly[Formula: see text]-shake一致。我们提供了无限系列的链接，这些链接可以区分一致性、抖动一致性和强抖动一致性。此外，对于[公式：见正文]，我们在一致性和字符串链接感染方面完全表征了抖动切片和抖动一致性链接。这种表征使我们能够证明第一个非消失的 Milnor [公式：见正文] 不变量是抖动一致性的不变量。我们还认为，抖动一致性并不意味着链接同伦。