Slicing mixed Bing-Whitehead doubles

Adam Simon Levine

doi:10.1112/jtopol/jts019

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arXiv · 0912.5222

Slicing mixed Bing-Whitehead doubles

Adam Simon Levine

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Abstract

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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Adam Simon Levine. 2010-08-20. Slicing mixed Bing-Whitehead doubles. https://doi.org/10.1112/jtopol%2Fjts019

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