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arXiv · 1409.4784

Geometry of the SL(3,C)-character variety of torus knots

Vicente Muñoz·Joan Porti
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Abstract

Let G be the fundamental group of the complement of the torus knot of type (m,n). This has a presentation G= . We find the 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).

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Vicente Muñoz, Joan Porti. 2020-03-08. Geometry of the SL(3,C)-character variety of torus knots. https://doi.org/10.2140/agt.2016.16.397

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