障碍物动摇sliceness为链接
Obstructions to shake sliceness for links
摘要：
Shake slice推广了slice链接的概念，自然地将Shake slice结的概念扩展到链接。还有一个相对的版本，shake concordance，概括了link concordance。我们证明了如果两个链环是shake协调的，那么它们的零手术流形是同调协边的。然后，我们为被shake slice的链接设置几个障碍;例如，Arf不变量对于链接和每个组件都消失。最后，我们表明，一个动摇切片链接边界不相交的磁盘在一个同源4球，因此每个组件是代数切片。
英文摘要：
Shake slice generalizes the notion of a slice link, naturally extending the notion of shake slice knots to links. There is also a relative version, shake concordance, that generalizes link concordance. We show that if two links are shake concordant, then their zero surgery manifolds are homology cobordant. Then we give several obstructions to a link being shake slice; for instance, the Arf invariants vanish for both the link and each component. Finally we show that a shake slice link bounds disjoint disks in a homology 4-ball and hence each component is algebraically slice.
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