An involutive upsilon knot invariant
Geometric Topology
2017-10-24 v1
Abstract
Using the theory of involutive Heegaard Floer knot theory developed by Hendricks-Manolescu, we define two involutive analogs of the Upsilon knot concordance invariant of Ozsvath-Stipsicz-Szabo. These involutive invariants are piecewise linear functions defined on the interval [0,2]. Each is a concordance invariant and provides bounds on the three-genus of a knot.
Cite
@article{arxiv.1710.08360,
title = {An involutive upsilon knot invariant},
author = {Matthew Hogancamp and Charles Livingston},
journal= {arXiv preprint arXiv:1710.08360},
year = {2017}
}
Comments
9 pages