Slicing mixed Bing-Whitehead doubles
Geometric Topology
2014-05-02 v3
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.
Keywords
Cite
@article{arxiv.0912.5222,
title = {Slicing mixed Bing-Whitehead doubles},
author = {Adam Simon Levine},
journal= {arXiv preprint arXiv:0912.5222},
year = {2014}
}
Comments
16 pages, 10 figures. v2: This is a substantial revision of v1. We eliminated Section 4 of v1 because it is superceded by arXiv:1008.3349. v3: corrected references