New Heegaard Floer slice genus and clasp number bounds
Geometric Topology
2020-10-06 v2
Abstract
We define several concordance invariants using knot Floer homology which give improvements over known slice genus and clasp number bounds from Heegaard Floer homology. We also prove that the involutive correction terms of Hendricks and Manolescu give both a slice genus and a clasp number bound.
Keywords
Cite
@article{arxiv.2007.07106,
title = {New Heegaard Floer slice genus and clasp number bounds},
author = {András Juhász and Ian Zemke},
journal= {arXiv preprint arXiv:2007.07106},
year = {2020}
}
Comments
28 pages. Version 2 has new genus bounds, as well as a new invariant from the UV=0 version of knot Floer homology. The paper is reorganized to reflect new material, and has a new title. Many references added