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Subjects
57-XX Manifolds and cell complexes
57Qxx PL-topology
57Q10 Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.

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Nielsen reduction in free groups with operators

Gert Denk, Wolfgang Metzler (1988)

Fundamenta Mathematicae

Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups

Jérôme Dubois (2005)

Annales de l’institut Fourier

For a knot $K$ in the 3-sphere and a regular representation of its group $G_{K}$ into SU(2) we construct a non abelian Reidemeister torsion form on the first twisted cohomology group of the knot exterior. This non abelian Reidemeister torsion form provides a volume form on the SU(2)-representation space of $G_{K}$ . In another way, we construct using Casson’s original construction a natural volume form on the SU(2)-representation space of $G_{K}$ . Next, we compare these two apparently different points of view on the representation...

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