%0 Journal Article
%T Notes on the knot concordance invariant Upsilon
%A Charles Livingston
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1412.0254v2