Abstract
We show that if K is any knot whose Ozsváth-Szabó concordance invariant T (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.
Original language | English (US) |
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Article number | jts019 |
Pages (from-to) | 713-726 |
Number of pages | 14 |
Journal | Journal of Topology |
Volume | 5 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2012 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology