Year: 2012
Type: article
Abstract: 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.
Source: Journal of Topology
Author: Adam Simon Levine
Institution: Brandeis University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2102322377