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Journal Articles Geometriae Dedicata Year : 2019

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

Abstract

We describe a family of representations in SL(3,C) of the fundamental group π of the Whitehead link complement. These representations are obtained by considering pairs of regular order three elements in SL(3,C) and can be seen as factorising through a quotient of π 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,C)-character variety of π.
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Dates and versions

hal-01370289 , version 1 (22-09-2016)

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Antonin Guilloux, Pierre Will. On SL(3,C)-representations of the Whitehead link group. Geometriae Dedicata, 2019, 202, pp.81-101. ⟨10.1007/s10711-018-0404-8⟩. ⟨hal-01370289⟩
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