The SU(2)-character varieties of torus knots

Abstract

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.

13 pages, 2 figures; v2. Reference updated

References in corpus (1)

• On the varieties of representations and characters of a family of one-relator subgroups. Their irreducible components