Martínez Martínez, J.Muñoz, Vicente2023-06-192023-06-1920150035-759610.1216/RMJ-2015-45-2-583https://hdl.handle.net/20.500.14352/34807Let 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.engjournal articlehttp://projecteuclid.org/euclid.rmjm/1434208488http://arxiv.org/pdf/1202.3241v2.pdfhttp://projecteuclid.org/open access514515.114D20: Algebraic moduli problemsmoduli of vector bundles {For analytic moduli problemssee 32G13} 57M25: Knots and links in S3 {For higher dimensionssee 57Q45} 57M27: Invariants of knots and 3-manifoldsGeometríaTopología1204 Geometría1210 Topología