Twisted Reidemeister torsion for twist knots
The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evalua...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:44053 |
| Acesso em linha: | https://ddd.uab.cat/record/44053 |
| Access Level: | acceso abierto |
| Palavra-chave: | Nusos, Teoria de Varietats tridimensionals (Topologia) |
| Resumo: | The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot. Tables given approximations of the twisted Reidemeister torsion for twist knots on some concrete examples are also enclosed. |
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