Full paper in PDF format:
$%V. Muñoz, The SL(2, C)-Character Varieties of Torus Knots, Rev. Mat. Complut. 22 (2009),
no. 2, 489–497.%$
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
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.