Notes on the knot concordance invariant Upsilon
Geometric Topology
2020-10-05 v3
Abstract
The knot concordance invariant Upsilon, recently defined by Ozsvath, Stipsicz, and Szabo, takes values in the group of piecewise linear functions on the closed interval [0,2]. This paper presents a description of one approach to defining Upsilon and of proving its basic properties related to the knot 3-genus, 4-genus, and concordance genus.
Keywords
Cite
@article{arxiv.1412.0254,
title = {Notes on the knot concordance invariant Upsilon},
author = {Charles Livingston},
journal= {arXiv preprint arXiv:1412.0254},
year = {2020}
}
Comments
This version includes revisions that were made before the final acceptance by AGT