%0 Journal Article %T Faithfulness of the Lawrence representation of braid groups %A Hao Zheng %J Mathematics %D 2005 %I arXiv %X 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 $m \geq 2$. %U http://arxiv.org/abs/math/0509074v1