On the concordance genus of topologically slice knots
Geometric Topology
2013-10-29 v2
Abstract
The concordance genus of a knot K is the minimum Seifert genus of all knots smoothly concordant to K. Concordance genus is bounded below by the 4-ball genus and above by the Seifert genus. We give a lower bound for the concordance genus of K coming from the knot Floer complex of K. As an application, we prove that there are topologically slice knots with 4-ball genus equal to one and arbitrarily large concordance genus.
Cite
@article{arxiv.1203.4594,
title = {On the concordance genus of topologically slice knots},
author = {Jennifer Hom},
journal= {arXiv preprint arXiv:1203.4594},
year = {2013}
}
Comments
15 pages, 11 figures, 1 table; v2: Added Proposition 3.2 and several figures; minor revisions throughout. This is the version to appear in IMRN