Faithfulness of the Lawrence representation of braid groups

Details Faithfulness of the Lawrence representation of braid groups Faithfulness of the Lawrence representation of braid groups

2005-09-04

arxiv.org/abs/math/0509074v1

Mathematics

Geometric Topology

9 pages, 6 figures

Scientific paper

The Lawrence representation $L_{n,m}$ is a family of homological
representation of the braid group $B_n$, which specializes to the reduced Burau
and the Lawrence-Krammer representation when $m$ is 1 and 2. In this article we
show that the Lawrence representation is faithful for $m \geq 2$.

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