Slicing mixed bing-whitehead doubles

Adam Simon Levine

Research output: Contribution to journalArticle

10 Scopus citations

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 languageEnglish (US)
Article numberjts019
Pages (from-to)713-726
Number of pages14
JournalJournal of Topology
Volume5
Issue number3
DOIs
StatePublished - Sep 2012

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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