论文标题
劳伦斯·比格洛（Lawrence-Bigelow）表示，基础和二元性
Lawrence-Bigelow representations, bases and duality
论文作者
论文摘要
我们研究映射课程组的同源表示，包括辫子组。这些来自某些配置空间的扭曲同源性，并具有许多不同的口味。我们的目标是对许多不同的同源表示形式之间的基本关系（非分析配对，嵌入，同构）进行统一的一般说明。我们激励人心的例子是编织群体的劳伦斯·比格洛（Lawrence-Bigelow）表示，这在对辫子群体本身的研究以及与量子不变的结和链接的联系中至关重要。
We study homological representations of mapping class groups, including the braid groups. These arise from the twisted homology of certain configuration spaces, and come in many different flavours. Our goal is to give a unified general account of the fundamental relationships (non-degenerate pairings, embeddings, isomorphisms) between the many different flavours of homological representations. Our motivating examples are the Lawrence-Bigelow representations of the braid groups, which are of central importance in the study of the braid groups themselves, as well as their connections with quantum invariants of knots and links.
