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$%V. Muñoz, The SL(2, C)-Character Varieties of Torus Knots, Rev. Mat. Complut. 22 (2009), no. 2, 489–497.%$
The SL(2, C)-Character Varieties of Torus Knots
Vicente MUÑOZ
Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM
Consejo Superior de Investigaciones Científicas
Serrano 113 bis
28006 Madrid — Spain
vicente.munoz@imaff.cfmac.csic.es 
Facultad de Matemáticas
Universidad Complutense de Madrid
Plaza Ciencias 3
28040 Madrid — Spain
Received: September 29, 2008
Accepted: January 13, 2009

ABSTRACT

Let G be the fundamental group of the complement of the torus knot of type (m,n). This has a presentation G = <x,y |xm = yn>. We find the geometric description of the character variety X(G) of characters of representations of G into SL(2,C).

Key words: Torus knot, characters, representations.
2000 Mathematics Subject Classification:
Primary: 14D20. Secondary: 57M25, 57M27.