The SL(2,C)-character varieties of torus knots

  • Vicente Muñoz
Palabras clave: Torus knot, characters, representations 2000 Mathematics Sub ject Classification, Primary, 14D20 Secondary, 57M25, 57M27

Resumen

Let G b e the fundamental group of the complement of the torus knot of typ e (m, n). This has a presentation G = x, y | xm = y n . We find the geometric description of the character variety X (G) of characters of representations of G into SL(2, C).
Publicado
2009-07-27
Sección
Artículos