On 2-bridge knots with differing smooth and topological slice genera
Geometric Topology
2016-11-10 v2
Abstract
We give infinitely many examples of 2-bridge knots for which the topological and smooth slice genera differ. The smallest of these is the 12-crossing knot . These also provide the first known examples of alternating knots for which the smooth and topological genera differ.
Keywords
Cite
@article{arxiv.1508.01431,
title = {On 2-bridge knots with differing smooth and topological slice genera},
author = {Peter Feller and Duncan McCoy},
journal= {arXiv preprint arXiv:1508.01431},
year = {2016}
}
Comments
7 pages, 4 figures. Minor changes, including an updated title. Accepted for publication by Proceedings of the AMS