On the values taken by slice torus invariants
Geometric Topology
2024-07-12 v1
Abstract
We study the space of slice-torus invariants. In particular we characterize the set of values that slice-torus invariants may take on a given knot in terms of the stable smooth slice genus. Our study reveals that the resolution of the local Thom conjecture implies the existence of slice torus invariants without having to appeal to any explicit construction from a knot homology theory.
Cite
@article{arxiv.2202.13818,
title = {On the values taken by slice torus invariants},
author = {Peter Feller and Lukas Lewark and Andrew Lobb},
journal= {arXiv preprint arXiv:2202.13818},
year = {2024}
}
Comments
8 pages