Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups
| dc.creator | Dubois, Jérôme | |
| dc.date | 2004-03-26 | |
| dc.date | 2005-04-18 | |
| dc.date.accessioned | 2026-07-07T05:06:48Z | |
| dc.date.available | 2026-07-07T05:06:48Z | |
| dc.description | For a knot K in $S^3$ and a regular representation $ρ$ of its group $G_K$ into SU(2) we construct a non abelian Reidemeister torsion on the first twisted cohomology group of the knot exterior. This non abelian Reidemeister torsion provides a volume form on the SU(2)-representation space of $G_K$. In another way, we construct according to Casson--or more precisely taking into account Lin's and Heusener's further works--a volume form on the SU(2)-representation space of $G_K$. Next, we compare these two apparently different points of view--the first by means of the Reidemeister torsion and the second defined ``a la Casson"--and finally prove that they define the same topological knot invariant. | |
| dc.description | 36 pages, 2 figures. to appear in Ann. Institut Fourier | |
| dc.identifier | https://arxiv.org/abs/math/0403470 | |
| dc.identifier | http://arxiv.org/abs/math/0403470 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70615 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57M25; 57Q10; 57M27 | |
| dc.title | Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups | |
| dc.type | text |