Geometry of $\mathrm{SU}(3)$-character varieties of torus knots

Ángel González-Prieto, Javier Martínez, Vicente Muñoz

We describe the geometry of the character variety of representations of the knot group ${\Gamma }_{m,n}=⟨x,y|x^n=y^m⟩$ into the group $\mathrm{SU}(3)$, by stratifying the cha…