On the signature of a positive braid
Geometric Topology
2025-12-15 v2
Abstract
We show that the signature of a positive braid link is bounded from below by one-quarter of its first Betti number. This equates to one-half of the optimal bound conjectured by Feller, who previously provided a bound of one-eighth.
Cite
@article{arxiv.2308.02275,
title = {On the signature of a positive braid},
author = {Joshua Evan Greene and Livio Liechti},
journal= {arXiv preprint arXiv:2308.02275},
year = {2025}
}
Comments
15 pages, 2 figures