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Currently displaying 1 – 3 of 3

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A volume form on the SU(2)-representation space of knot groups.

Dubois, Jérôme — 2006

Algebraic & Geometric Topology

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...

A Euclidean geometric invariant of framed (Un)Knots in manifolds.

Dubois, Jérôme; Korepanov, Igor G.; Martyushev, Evgeniy V. — 2010

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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