%0 Journal Article %A Martínez Martínez, J. %A Muñoz, Vicente %T The SU(2)-character varieties of torus knots %D 2015 %@ 0035-7596 %U https://hdl.handle.net/20.500.14352/34807 %X Let G be the fundamental group of the complement of the torus knot of type (m,n). We study the relationship between SU(2) and SL(2,C)-representations of this group, looking at their characters. Using the description of the SL(2,C)-character variety of G, X(G), we give a geometric description of Y(G)\subset X(G), the set of characters arising from SU(2)-representations. %~