Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/12381
| Títulos: | SU(2) and SL(2, ℂ) representations of a class of torus Knots |
| Autores/as: | Oller Marcén, Antonio M. |
| Palabras clave: | Character variety;Representation variety;Torus knot;SL(2, ℂ);Variedad de caracteres;Variedad de representación;Nudo toro;SU (2) |
| Fecha de publicación: | 2012 |
| Editor/a: | Universidad de Extremadura |
| 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 \ K ₘ,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. |
| URI: | http://hdl.handle.net/10662/12381 |
| Colección: | Extracta Mathematicae Vol. 27, nº 1 (2012) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_27_1_135.pdf | 344,01 kB | Adobe PDF | Descargar |
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