Geodesic
A volume form on the SU(2)–representation space of knot groups
Dubois, Jérôme1
1Section de Mathématiques, Université de Genève CP 64, 2–4 Rue du Lièvre, CH-1211 Genève 4, Switzerland
Algebraic and Geometric Topology, Tome 6 (2006) no. 1, pp. 373-404
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For a knot K in S3 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.

DOI : 10.2140/agt.2006.6.373
Keywords: knot groups, representation space, volume form, Casson invariant, adjoint representation, SU

Dubois, Jérôme  1

1 Section de Mathématiques, Université de Genève CP 64, 2–4 Rue du Lièvre, CH-1211 Genève 4, Switzerland 
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Dubois, Jérôme. A volume form on the SU(2)–representation space of knot groups. Algebraic and Geometric Topology, Tome 6 (2006) no. 1, pp. 373-404. doi: 10.2140/agt.2006.6.373

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