On homogeneous quasipositive links
Geometric Topology
2023-03-13 v2
Abstract
We discuss when homogeneous quasipositive links are positive. In particular, we show that a homogeneous diagram of a quasipositive link whose number of Seifert circles is equal to the braid index is a positive diagram.
Keywords
Cite
@article{arxiv.2007.03962,
title = {On homogeneous quasipositive links},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:2007.03962},
year = {2023}
}
Comments
5 pages, no Figures; version 2, added Theorem 5, improvement of Murasugi-Prytycki's inequality of the braid index