On the First Singularity for the Upsilon Invariant of Algebraic Knots
Geometric Topology
2017-05-17 v1
Abstract
We show that the location of the first singularity of the Upsilon function of an algebraic knot is determined by the first term of its Puiseux characteristic sequence. In many cases this gives better bounds than the tau invariant on the genus of a cobordism between algebraic knots.
Keywords
Cite
@article{arxiv.1505.06835,
title = {On the First Singularity for the Upsilon Invariant of Algebraic Knots},
author = {Shida Wang},
journal= {arXiv preprint arXiv:1505.06835},
year = {2017}
}