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Paper detail

Character varieties for SL(3,C): the figure eight knot

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 SL(3,C). We moreover obtain an explicit parametrization of matrices generating the representation and a description of the projection of the representation variety into the character variety of the boundary torus into SL(3,C).

preprint2014arXivOpen access
Elisha FalbelAntonin GuillouxPierre-Vincent KoseleffFabrice RouillierMorwen Thistlethwaite
math.GTmath.AG
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Elisha FalbelAntonin GuillouxPierre-Vincent KoseleffFabrice RouillierMorwen Thistlethwaite

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