Slicing mixed Bing–Whitehead doubles
Slicing mixed Bing–Whitehead doubles
复制标题
切片混合 Bing-Whitehead 双打
DOI：
10.1112/jtopol/jts019
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发表时间：
2009
影响因子：
1.1
通讯作者：
A. Levine
中科院分区：
文献类型：
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作者：
A. Levine
我们证明了如果K是任意纽结，其Ozsváth-Szabó和谐不变量τ（K）为正，则K的任意迭代Bing double的全正Whitehead double是拓扑切片，但不是光滑切片。我们还证明了Hopf环的任何迭代Bing二重环的全正Whitehead二重环（例如Borromean环的全正Whitehead二重环）都不是光滑切片的;不知道这些环是否是拓扑切片的。
We show that if K is any knot whose Ozsváth–Szabó concordance invariant τ (K) is positive, the all‐positive Whitehead double of any iterated Bing double of K is topologically but not smoothly slice. We also show that the all‐positive Whitehead double of any iterated Bing double of the Hopf link (for example, the all‐positive Whitehead double of the Borromean rings) is not smoothly slice; it is not known whether these links are topologically slice.