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

Dubois, Jérôme

doi:10.2140/agt.2006.6.373

Scientific article

English

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

ContributorsDubois, Jérôme

Published inAlgebraic & geometric topology, vol. 6, p. 373-404

Publication date2006

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.

Classification

arxiv : math.GT

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

DUBOIS, Jérôme. A volume form on the SU(2)-representation space of knot groups. In: Algebraic & geometric topology, 2006, vol. 6, p. 373–404. doi: 10.2140/agt.2006.6.373

Article (Accepted version)

Identifiers

PID : unige:12108
DOI : 10.2140/agt.2006.6.373
arXiv : math.GT/0409529

ISSN of the journal1472-2739

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

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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