A note on the concordance invariants epsilon and upsilon
Geometric Topology
2014-09-12 v2
Abstract
Ozsvath-Stipsicz-Szabo recently defined a one-parameter family, upsilon of K at t, of concordance invariants associated to the knot Floer complex. We compare their invariant to the {-1, 0, 1}-valued concordance invariant epsilon, which is also associated to the knot Floer complex. In particular, we give an example of a knot K with upsilon uniformly equal to zero but epsilon non-zero.
Keywords
Cite
@article{arxiv.1407.8200,
title = {A note on the concordance invariants epsilon and upsilon},
author = {Jennifer Hom},
journal= {arXiv preprint arXiv:1407.8200},
year = {2014}
}
Comments
4 pages, 1 figure; v2: added corollary on concordance genus