论文标题
$ n $ - 桥辫子和辫子指数
$n$-bridge braids and the braid index
论文作者
论文摘要
在这项工作中，我们找到了一个封闭式的配方公式，用于$ n $架辫子的编织索引，这是一类积极的辫子结，同时概括了圆环结，1架架子和扭曲的圆环结。我们的证明是基本，有效和独立的，并且部分恢复了伯曼 - 科曼的作品。一路上，我们表明文献中扭曲的圆环结的不同定义一致。
In this work, we find a closed form formula for the braid index of an $n$-bridge braid, a class of positive braid knots which simultaneously generalizes torus knots, 1-bridge braids, and twisted torus knots. Our proof is elementary, effective, and self-contained, and partially recovers work of Birman--Kofman. Along the way, we show that the disparate definitions of twisted torus knots in the literature agree.
