Publication: Geometry of the SL(3,ℂ)-character variety of torus knots.
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2016
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Mathematical Sciences Publishers
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Abstract
Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presentation G = <x, y | xm = yn>. We find a geometric description of the character variety X(G) of characters of representations of G into SL(3,ℂ), GL(3,ℂ) and PGL(3,ℂ).