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Journal Articles Experimental Mathematics Year : 2016

Character Varieties For SL(3,C): The Figure Eight Knot

Abstract

We give a description of several representation varieties of the fundamental group of the complement of the figure eight knot in PGL (3, ℂ) or PSL (3, ℂ). We obtain a description of the projection of the representation variety into the character variety of the boundary torus into SL (3, ℂ).

Dates and versions

hal-01362208 , version 1 (08-09-2016)

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Elisha Falbel, Antonin Guilloux, Pierre-Vincent Koseleff, Fabrice Rouillier, Morwen Thistlethwaite. Character Varieties For SL(3,C): The Figure Eight Knot. Experimental Mathematics, 2016, 25 (2), pp.17. ⟨10.1080/10586458.2015.1068249⟩. ⟨hal-01362208⟩
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