Determinant of the OU matrix of a braid diagram
Geometric Topology
2024-11-06 v2
Abstract
In this paper, we define the OU matrix of a braid diagram and discuss how the OU matrix reflects the warping degree or the layeredness of the braid diagram, and show that the determinant of the OU matrix of a layered braid diagram is the product of the determinants of the layers. We also introduce invariants of positive braids which are derived from the OU matrix.
Cite
@article{arxiv.2410.17778,
title = {Determinant of the OU matrix of a braid diagram},
author = {Ayaka Shimizu and Yoshiro Yaguchi},
journal= {arXiv preprint arXiv:2410.17778},
year = {2024}
}
Comments
16 pages, 6 figures