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

Abstract

For a knot K in S^3 we construct according to Casson--or more precisely taking into account Lin and Heusener's further works--a volume form on the SU(2)-representation space of the group of K. We prove that this volume form is a topological knot invariant and explore some of its properties.

This is the version published by Algebraic & Geometric Topology on 12 March 2006

Cited by in corpus (4)

• Limit values of the non-acyclic Reidemeister torsion for knots
• Reidemeister torsion, hyperbolic three-manifolds, and character varieties
• A unified Casson-Lin invariant for the real forms of SL(2)
• Symmetry of Reidemeister torsion on $S{U}_2$-representation spaces of knots