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Deformations of dihedral representations
G. Burde proved (1990) that the $\mathrm {SU}$ representation space of two-bridge knot groups is one-dimensional. The same holds for all torus knot groups. The aim of this note is to prove the following: Given a knot $k \subset S^3$ we denote by $\hat {C}_2$ its twofold branched covering space. …