Concordance homomorphisms from knot Floer homology
Geometric Topology
2017-06-14 v3
Abstract
We modify the construction of knot Floer homology to produce a one-parameter family of homologies for knots in the three-sphere. These invariants can be used to give homomorphisms from the smooth concordance group to the integers, giving bounds on the four-ball genus and the concordance genus of knots. We give some applications of these homomorphisms.
Keywords
Cite
@article{arxiv.1407.1795,
title = {Concordance homomorphisms from knot Floer homology},
author = {Peter Ozsvath and Andras Stipsicz and Zoltan Szabo},
journal= {arXiv preprint arXiv:1407.1795},
year = {2017}
}
Comments
Minor revision, corrected typos and added explanation to Chapter 8