论文标题
Tong-yang-ma代表的扩展
Extensions of Tong-Yang-Ma representation
论文作者
论文摘要
1996年，Tong，Yang和Ma定义了辫子群体的一系列代表，该群体具有与（未恢复的）Burau表示相同的维度，但并非等效。 Burau代表是在同源的，并以多种方式扩展到字符串链接。在本文中，使用白银和威廉姆斯的方法，我们将汤扬·玛（Tong-Yang-Ma）表示的家族扩展到弦乐链路和焊接的弦线链接。此外，我们表明可以使用一些链接数字来描述这些表示的内核。最后，我们将Long-Moody结构应用于Tong-Yang-MA表示，并研究其第一个特性。
In 1996, Tong, Yang and Ma defined a family of representations of the braid group which have the same dimensions as the (unreduced) Burau representations but are not equivalent. The Burau representation was defined homologically and extended to the string links in several ways. In this paper, using the method of Silver and Williams, we extend the family of the Tong-Yang-Ma representations to the string links and welded string links. Moreover, we show that the kernels of these representations may be described using some linking numbers. Finally, we apply the Long-Moody construction to the Tong-Yang-Ma representations and study its first properties.
