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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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https://hal.archives-ouvertes.fr/hal-01370289
Contributor : Antonin Guilloux Connect in order to contact the contributor
Submitted on : Thursday, September 22, 2016 - 12:30:36 PM
Last modification on : Thursday, March 24, 2022 - 4:39:50 PM

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

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