卫星全正辫子链环是全正辫子链环的辫子卫星

辫乘扭

Braided multitwists

本文给出了可定向曲面映射类群中满足辫关系的乘扭的刻画。

编弦图

Braided chord diagrams

介绍了编织弦图的概念，并对其进行了研究。本文给出了一个等价关系，它能识别一个固定弦图的所有编织。它表明，有限型不变量分层的辫子指数的结，可以表示为封闭的3-辫子。给出了辫指数为3的弦图代数的生成集的部分结果。

互弧展示与辫状开书

Mutual arc presentations and braided open books

本文通过互弧展示技术，证明了典范纤维化链接是辫状开书的绑定，并通过连通和与缆绕操作获得非典范纤维化的绑定例子。

Knotted boundaries and braid only form of braided belts

The Helon model identifies Standard Model quarks and leptons with certain framed braids joined together at both ends by a connecting node (disk). These surfaces with boundary are called braided 3-belts (or simply belts). Twisting and braiding of ribbons composing braided 3-belts are interchangeable, and it was shown in the literature that any braided 3-belt can be written in a pure twist form, specified by a vector of three multiples of half integers [a,b,c], a topological invariant. This paper identifies the set of braided 3-belts that can be written in a braid only form in which all twisting…

A new family of infinitely braided Thompson's groups

We present a generalization of the Dehornoy-Brin braided Thompson group $BV_2$ that uses recursive braids. Our new groups are denoted by $BV_{n,r}(H)$, for all $n\geq 2,r\geq 1$ and $H \leq \mathcal{B}_n$, where $\mathcal{B}_n$ is the braid group on $n$ strands. We give a new approach to deal with braided Thompson groups by using strand diagrams. We show that $BV_{n,r}(H)$ is finitely generated if $H$ is finitely generated.