Let GG be the fundamental group of the complement of the torus knot of type (m,n)(m,n). This has a presentation G=<x,y∣xm=yn>G=<x,y∣xm=yn>. We find the geometric description of the character variety X(G)X(G) of characters of representations of GG into SL(2,C)SL(2,C).
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