椒盐卷结的拟正性与辫指数
几何拓扑
2024-12-24 v2
摘要
这篇短注关于具有一条股线上交叉数为偶数的三股椒盐卷结。我们计算了此类结的辫指数,并确定了其中哪些是拟正的。主要工具是Morton-Franks-Williams不等式,以及Khovanov-Rozansky共轭同态。
引用
@article{arxiv.2205.05347,
title = {Quasipositivity and braid index of pretzel knots},
author = {Lukas Lewark},
journal= {arXiv preprint arXiv:2205.05347},
year = {2024}
}
备注
6 pages, 2 figures. v2: Minor changes. Accepted for publication in Communications in Analysis and Geometry. Comments welcome