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

Published 16 Sep 2014 in math.GT and math.AG | (1409.4784v2)

Abstract: Let G be the fundamental group of the complement of the torus knot of type (m,n). This has a presentation G=<x,y|x^m=y^n>. 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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