SU(2) and SL(2; C) Representations of a Class of Torus Knots

Autores: Antonio Miguel Oller Marcén
Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 27, Nº 1, 2012, págs. 135-144
Idioma: inglés
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Resumen
- Let Km;2 be the torus knot of type (m; 2). With the help of the explicit description of the SL(2;C) character variety of this class of torus knots given by the author in a previous work, we study the relationship between the representations over SU(2) and over SL(2;C) of the fundamental group of S3 nKm;2. In particular it is shown that the map from the moduli space of irreducible SU(2)-representations to the moduli space of SL(2;C)-representations is injective.