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

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

2004-09-27

arxiv.org/abs/math/0409529v2

Algebr. Geom. Topol. 6 (2006) 373-404

Mathematics

Geometric Topology

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

Scientific paper

10.2140/agt.2006.6.373

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.

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