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Faithfulness of the Lawrence representation of braid groups

Hao Zheng
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Abstract

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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Hao Zheng. 2005-09-04. Faithfulness of the Lawrence representation of braid groups. https://arxiv.org/abs/math/0509074

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