论文标题
亲努力的劳伦斯·克拉默·贝格洛的代表
The pro-nilpotent Lawrence-Krammer-Bigelow representation
论文作者
论文摘要
我们构建了辫子群的劳伦斯 - 克拉默 - 贝格洛(LKB)表示的3个变量丰富,这是具有原始LKB表示为底层的代表塔的极限。我们还构建了表面辫子组和循环辫子组的表示形式的类似的尼尔特塔。
We construct a 3-variable enrichment of the Lawrence-Krammer-Bigelow (LKB) representation of the braid groups, which is the limit of a pro-nilpotent tower of representations having the original LKB representation as its bottom layer. We also construct analogous pro-nilpotent towers of representations of surface braid groups and loop braid groups.