Bowling ball representations of braid groups
Geometric Topology
2014-09-16 v1
Abstract
In a remark in his seminal 1987 paper, Jones describes a way to define the Burau matrix of a positive braid using a metaphor of bowling a ball down a bowling alley with braided lanes. We extend this definition to allow multiple bowling balls to be bowled simultaneously. We obtain the Iwahori-Hecke algebra and a cabled version of the Temperley-Lieb representation.
Cite
@article{arxiv.1409.4074,
title = {Bowling ball representations of braid groups},
author = {Stephen Bigelow},
journal= {arXiv preprint arXiv:1409.4074},
year = {2014}
}
Comments
8 pages, 0 figures