Braid Groups are Linear
Group Theory
2007-05-23 v1 Geometric Topology
Abstract
The braid groups B_n can be defined as the mapping class group of the n-punctured disc. The Lawrence-Krammer representation of the braid group B_n is the induced action on a certain twisted second homology of the space of unordered pairs of points in the n-punctured disc. Recently, Daan Krammer showed that this is a faithful representation in the case n=4. In this paper, we show that it is faithful for all n.
Keywords
Cite
@article{arxiv.math/0005038,
title = {Braid Groups are Linear},
author = {Stephen J. Bigelow},
journal= {arXiv preprint arXiv:math/0005038},
year = {2007}
}
Comments
13 pages, 3 figures