The pro-nilpotent Lawrence-Krammer-Bigelow representation

Autor:	Palmer, Martin, Soulié, Arthur
Rok vydání:	2022
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology Mathematics - Group Theory 20C12 20F36 20F14 20J05 55R80 57M07 57M10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 31 pages, 6 figures. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.01855 Zobrazit plný text záznamu View this record from Arxiv