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Corpus ID: 119308840

On SL(3,$\mathbb C$)-representations of the Whitehead link group

@article{Guilloux2016OnSC,
title={On SL(3,\$\mathbb C\$)-representations of the Whitehead link group},
author={A. Guilloux and P. Will},
journal={arXiv: Geometric Topology},
year={2016}
}

We describe a family of representations in SL(3,$\mathbb C$) of the fundamental group $\pi$ of the Whitehead link complement. These representations are obtained by considering pairs of regular order three elements in SL(3,$\mathbb C$) and can be seen as factorising through a quotient of $\pi$ defined by a certain exceptional Dehn surgery on the Whitehead link. Our main result is that these representations form an algebraic component of the SL(3,$\mathbb C$)-character variety of $\pi$.