The pro-nilpotent Lawrence-Krammer-Bigelow representation
Geometric Topology
2025-09-16 v2 Algebraic Topology
Group Theory
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.
Cite
@article{arxiv.2211.01855,
title = {The pro-nilpotent Lawrence-Krammer-Bigelow representation},
author = {Martin Palmer and Arthur Soulié},
journal= {arXiv preprint arXiv:2211.01855},
year = {2025}
}
Comments
35 pages, 7 figures. Final version, to appear in Journal of Pure and Applied Algebra