Slicing mixed Bing-Whitehead doubles

Details Slicing mixed Bing-Whitehead doubles Slicing mixed Bing-Whitehead doubles

2009-12-28

arxiv.org/abs/0912.5222v3

Mathematics

Geometric Topology

16 pages, 10 figures. v2: This is a substantial revision of v1. We eliminated Section 4 of v1 because it is superceded by arXi

Scientific paper

We show that if K is any knot whose Ozsvath-Szabo concordance invariant tau(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 (e.g., the all-positive Whitehead double of the Borromean rings) is not smoothly slice; it is not known whether these links are topologically slice.

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