A volume form on the SU(2)-representation space of knot groups.
Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups
For a knot in the 3-sphere and a regular representation of its group 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 . In another way, we construct using Casson’s original construction a natural volume form on the SU(2)-representation space of . Next, we compare these two apparently different points of view on the representation...
A Euclidean geometric invariant of framed (Un)Knots in manifolds.
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