The pro-nilpotent Lawrence-Krammer-Bigelow representation
arXiv:2211.01855 · doi:10.1016/j.jpaa.2025.107952
Abstract
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.
35 pages, 7 figures. Final version, to appear in Journal of Pure and Applied Algebra